10764100464 has 120 divisors (see below), whose sum is σ = 31305860880. Its totient is φ = 3167932416.

The previous prime is 10764100453. The next prime is 10764100481. The reversal of 10764100464 is 46400146701.

It is a super-3 number, since 3×10764100464³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313792 + ... + 346400.

It is an arithmetic number, because the mean of its divisors is an integer number (260882174).

Almost surely, 2^10764100464 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 10764100464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652930440).

10764100464 is an abundant number, since it is smaller than the sum of its proper divisors (20541760416).

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

10764100464 is a wasteful number, since it uses less digits than its factorization.

10764100464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32679 (or 32650 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 10764100464 in words is "ten billion, seven hundred sixty-four million, one hundred thousand, four hundred sixty-four".