76913664253440 has 640 divisors, whose sum is σ = 283195313482752. Its totient is φ = 17443879649280.

The previous prime is 76913664253427. The next prime is 76913664253457. The reversal of 76913664253440 is 4435246631967.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5616999234 + ... + 5617012926.

Almost surely, 2^{76913664253440} is an apocalyptic number.

76913664253440 is a gapful number since it is divisible by the number (70) 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 76913664253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141597656741376).

76913664253440 is an abundant number, since it is smaller than the sum of its proper divisors (206281649229312).

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

76913664253440 is a wasteful number, since it uses less digits than its factorization.

76913664253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14530 (or 14514 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 60.

The spelling of 76913664253440 in words is "seventy-six trillion, nine hundred thirteen billion, six hundred sixty-four million, two hundred fifty-three thousand, four hundred forty".