86976620640 has 1728 divisors, whose sum is σ = 399646420992. Its totient is φ = 17468006400.

The previous prime is 86976620611. The next prime is 86976620677. The reversal of 86976620640 is 4602667968.

86976620640 is a `hidden beast` number, since 8 + 6 + 9 + 7 + 6 + 620 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1425846210 + ... + 1425846270.

It is an arithmetic number, because the mean of its divisors is an integer number (231276864).

Almost surely, 2^86976620640 is an apocalyptic number.

86976620640 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 86976620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199823210496).

86976620640 is an abundant number, since it is smaller than the sum of its proper divisors (312669800352).

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

86976620640 is a wasteful number, since it uses less digits than its factorization.

86976620640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 86976620640 in words is "eighty-six billion, nine hundred seventy-six million, six hundred twenty thousand, six hundred forty".