86979470760 has 1152 divisors, whose sum is σ = 381278016000. Its totient is φ = 17480365056.

The previous prime is 86979470731. The next prime is 86979470789. The reversal of 86979470760 is 6707497968.

86979470760 is a `hidden beast` number, since 8 + 6 + 97 + 9 + 470 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (86979470731) and next prime (86979470789).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 363930721 + ... + 363930959.

It is an arithmetic number, because the mean of its divisors is an integer number (330970500).

Almost surely, 2^86979470760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86979470760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190639008000).

86979470760 is an abundant number, since it is smaller than the sum of its proper divisors (294298545240).

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

86979470760 is a wasteful number, since it uses less digits than its factorization.

86979470760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 86979470760 in words is "eighty-six billion, nine hundred seventy-nine million, four hundred seventy thousand, seven hundred sixty".