87765697646640 has 1920 divisors, whose sum is σ = 362417063823360. Its totient is φ = 19530915250176.

The previous prime is 87765697646633. The next prime is 87765697646651. The reversal of 87765697646640 is 4664679656778.

87765697646640 is a `hidden beast` number, since 8 + 7 + 7 + 6 + 569 + 7 + 6 + 4 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 87765697646640.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72116431312 + ... + 72116432528.

It is an arithmetic number, because the mean of its divisors is an integer number (188758887408).

Almost surely, 2^{87765697646640} is an apocalyptic number.

87765697646640 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 87765697646640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181208531911680).

87765697646640 is an abundant number, since it is smaller than the sum of its proper divisors (274651366176720).

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

87765697646640 is a wasteful number, since it uses less digits than its factorization.

87765697646640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 15362887680, while the sum is 81.

The spelling of 87765697646640 in words is "eighty-seven trillion, seven hundred sixty-five billion, six hundred ninety-seven million, six hundred forty-six thousand, six hundred forty".