10740764400 has 120 divisors (see below), whose sum is σ = 34821104640. Its totient is φ = 2829669120.

The previous prime is 10740764399. The next prime is 10740764477. The reversal of 10740764400 is 446704701.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 45681 + ... + 153519.

It is an arithmetic number, because the mean of its divisors is an integer number (290175872).

Almost surely, 2^10740764400 is an apocalyptic number.

10740764400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10740764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17410552320).

10740764400 is an abundant number, since it is smaller than the sum of its proper divisors (24080340240).

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

10740764400 is a wasteful number, since it uses less digits than its factorization.

10740764400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107943 (or 107932 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 10740764400 in words is "ten billion, seven hundred forty million, seven hundred sixty-four thousand, four hundred".