76461927123456 has 480 divisors, whose sum is σ = 263471504744448. Its totient is φ = 20886806568960.

The previous prime is 76461927123437. The next prime is 76461927123467. The reversal of 76461927123456 is 65432172916467.

76461927123456 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 1 + 92 + 71 + 23 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76461927123393 and 76461927123402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82534045 + ... + 83455331.

Almost surely, 2^{76461927123456} 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 76461927123456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131735752372224).

76461927123456 is an abundant number, since it is smaller than the sum of its proper divisors (187009577620992).

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

76461927123456 is a wasteful number, since it uses less digits than its factorization.

76461927123456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921432 (or 921413 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 76461927123456 in words is "seventy-six trillion, four hundred sixty-one billion, nine hundred twenty-seven million, one hundred twenty-three thousand, four hundred fifty-six".