76268493665280 has 1056 divisors, whose sum is σ = 315839785248000. Its totient is φ = 17402769506304.

The previous prime is 76268493665129. The next prime is 76268493665327. The reversal of 76268493665280 is 8256639486267.

76268493665280 is a `hidden beast` number, since 7 + 6 + 2 + 6 + 8 + 4 + 93 + 6 + 6 + 528 + 0 = 666.

It is a hoax number, since the sum of its digits (72) 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 76268493665199 and 76268493665208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4057472842 + ... + 4057491638.

Almost surely, 2^{76268493665280} is an apocalyptic number.

76268493665280 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 76268493665280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157919892624000).

76268493665280 is an abundant number, since it is smaller than the sum of its proper divisors (239571291582720).

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

76268493665280 is a wasteful number, since it uses less digits than its factorization.

76268493665280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19444 (or 19413 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 76268493665280 in words is "seventy-six trillion, two hundred sixty-eight billion, four hundred ninety-three million, six hundred sixty-five thousand, two hundred eighty".