76946362601472 has 3328 divisors, whose sum is σ = 309108555786240. Its totient is φ = 18345885696000.

The previous prime is 76946362601453. The next prime is 76946362601491. The reversal of 76946362601472 is 27410626364967.

76946362601472 is a `hidden beast` number, since 7 + 6 + 9 + 46 + 3 + 62 + 60 + 1 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (76946362601453) and next prime (76946362601491).

It is a tau number, because it is divible by the number of its divisors (3328).

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 (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 761845174222 + ... + 761845174322.

Almost surely, 2^{76946362601472} is an apocalyptic number.

76946362601472 is a gapful number since it is divisible by the number (72) 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 76946362601472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154554277893120).

76946362601472 is an abundant number, since it is smaller than the sum of its proper divisors (232162193184768).

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

76946362601472 is a wasteful number, since it uses less digits than its factorization.

76946362601472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 76946362601472 in words is "seventy-six trillion, nine hundred forty-six billion, three hundred sixty-two million, six hundred one thousand, four hundred seventy-two".