61471872000 has 1980 divisors, whose sum is σ = 292923562932. Its totient is φ = 12773376000.

The previous prime is 61471871969. The next prime is 61471872013. The reversal of 61471872000 is 27817416.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

61471872000 is a `hidden beast` number, since 614 + 7 + 18 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1967099904 + 59504772096 = 44352^2 + 243936^2 .

It is a tau number, because it is divible by the number of its divisors (1980).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 5588351995 + ... + 5588352005.

Almost surely, 2^61471872000 is an apocalyptic number.

61471872000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61471872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146461781466).

61471872000 is an abundant number, since it is smaller than the sum of its proper divisors (231451690932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61471872000 is a wasteful number, since it uses less digits than its factorization.

61471872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 61471872000 in words is "sixty-one billion, four hundred seventy-one million, eight hundred seventy-two thousand".