77461673217456 has 320 divisors, whose sum is σ = 230261751447552. Its totient is φ = 22225082880000.

The previous prime is 77461673217431. The next prime is 77461673217493. The reversal of 77461673217456 is 65471237616477.

It is a happy number.

It is a super-2 number, since 2×77461673217456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 151984360 + ... + 152493176.

Almost surely, 2^{77461673217456} 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 77461673217456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115130875723776).

77461673217456 is an abundant number, since it is smaller than the sum of its proper divisors (152800078230096).

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

77461673217456 is a wasteful number, since it uses less digits than its factorization.

77461673217456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509072 (or 509066 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 66.

The spelling of 77461673217456 in words is "seventy-seven trillion, four hundred sixty-one billion, six hundred seventy-three million, two hundred seventeen thousand, four hundred fifty-six".