761866983204480 has 512 divisors, whose sum is σ = 2852483965344000. Its totient is φ = 191645581049856.

The previous prime is 761866983204451. The next prime is 761866983204521. The reversal of 761866983204480 is 84402389668167.

761866983204480 is a `hidden beast` number, since 7 + 6 + 1 + 8 + 6 + 69 + 83 + 2 + 0 + 4 + 480 = 666.

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 = 761866983204399 and 761866983204408.

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, 71518944 + ... + 81478176.

Almost surely, 2^{761866983204480} 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 761866983204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426241982672000).

761866983204480 is an abundant number, since it is smaller than the sum of its proper divisors (2090616982139520).

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

761866983204480 is a wasteful number, since it uses less digits than its factorization.

761866983204480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959513 (or 9959495 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 761866983204480 in words is "seven hundred sixty-one trillion, eight hundred sixty-six billion, nine hundred eighty-three million, two hundred four thousand, four hundred eighty".