47560780800 has 1056 divisors, whose sum is σ = 193315404800. Its totient is φ = 11386552320.

The previous prime is 47560780781. The next prime is 47560780871. The reversal of 47560780800 is 808706574.

47560780800 is a `hidden beast` number, since 4 + 7 + 560 + 7 + 8 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 602035161 + ... + 602035239.

Almost surely, 2^47560780800 is an apocalyptic number.

47560780800 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 47560780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96657702400).

47560780800 is an abundant number, since it is smaller than the sum of its proper divisors (145754624000).

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

47560780800 is a wasteful number, since it uses less digits than its factorization.

47560780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 47560780800 in words is "forty-seven billion, five hundred sixty million, seven hundred eighty thousand, eight hundred".