10764477504 has 315 divisors, whose sum is σ = 35343623623. Its totient is φ = 3237062400.

The previous prime is 10764477473. The next prime is 10764477517. The reversal of 10764477504 is 40577446701.

The square root of 10764477504 is 103752.

It is a perfect power (a square), and thus also a powerful number.

10764477504 is a `hidden beast` number, since 1 + 0 + 76 + 4 + 4 + 77 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10764477504.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82171519 + ... + 82171649.

Almost surely, 2^10764477504 is an apocalyptic number.

10764477504 is the 103752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10764477504

10764477504 is an abundant number, since it is smaller than the sum of its proper divisors (24579146119).

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

10764477504 is an equidigital number, since it uses as much as digits as its factorization.

10764477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 10764477504 in words is "ten billion, seven hundred sixty-four million, four hundred seventy-seven thousand, five hundred four".