61624348800 has 384 divisors, whose sum is σ = 235451120640. Its totient is φ = 13874319360.

The previous prime is 61624348787. The next prime is 61624348837. The reversal of 61624348800 is 884342616.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×61624348800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4495557 + ... + 4509243.

It is an arithmetic number, because the mean of its divisors is an integer number (613153960).

Almost surely, 2^61624348800 is an apocalyptic number.

61624348800 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 61624348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117725560320).

61624348800 is an abundant number, since it is smaller than the sum of its proper divisors (173826771840).

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

61624348800 is a wasteful number, since it uses less digits than its factorization.

61624348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13788 (or 13771 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 61624348800 in words is "sixty-one billion, six hundred twenty-four million, three hundred forty-eight thousand, eight hundred".