10770257664 has 144 divisors (see below), whose sum is σ = 32244427040. Its totient is φ = 3589899264.

The previous prime is 10770257653. The next prime is 10770257681. The reversal of 10770257664 is 46675207701.

10770257664 is a `hidden beast` number, since 1 + 0 + 7 + 70 + 2 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550254 + ... + 569490.

Almost surely, 2^10770257664 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 10770257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16122213520).

10770257664 is an abundant number, since it is smaller than the sum of its proper divisors (21474169376).

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

10770257664 is an frugal number, since it uses more digits than its factorization.

10770257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19274 (or 19242 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 10770257664 in words is "ten billion, seven hundred seventy million, two hundred fifty-seven thousand, six hundred sixty-four".