47896077600 has 864 divisors, whose sum is σ = 203804205696. Its totient is φ = 10749542400.

The previous prime is 47896077589. The next prime is 47896077601. The reversal of 47896077600 is 677069874.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (47896077601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83008512 + ... + 83009088.

Almost surely, 2^47896077600 is an apocalyptic number.

47896077600 is a gapful number since it is divisible by the number (40) 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 47896077600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101902102848).

47896077600 is an abundant number, since it is smaller than the sum of its proper divisors (155908128096).

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

47896077600 is a wasteful number, since it uses less digits than its factorization.

47896077600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 47896077600 in words is "forty-seven billion, eight hundred ninety-six million, seventy-seven thousand, six hundred".