87760632960 has 1536 divisors, whose sum is σ = 420871127040. Its totient is φ = 16257024000.

The previous prime is 87760632943. The next prime is 87760632983. The reversal of 87760632960 is 6923606778.

87760632960 is a `hidden beast` number, since 8 + 7 + 7 + 606 + 3 + 29 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87760632897 and 87760632906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 178738315 + ... + 178738805.

It is an arithmetic number, because the mean of its divisors is an integer number (274004640).

Almost surely, 2^87760632960 is an apocalyptic number.

87760632960 is a gapful number since it is divisible by the number (80) 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 87760632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210435563520).

87760632960 is an abundant number, since it is smaller than the sum of its proper divisors (333110494080).

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

87760632960 is a wasteful number, since it uses less digits than its factorization.

87760632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 87760632960 in words is "eighty-seven billion, seven hundred sixty million, six hundred thirty-two thousand, nine hundred sixty".