107456761464 has 128 divisors (see below), whose sum is σ = 300994068480. Its totient is φ = 31744742400.

The previous prime is 107456761429. The next prime is 107456761523. The reversal of 107456761464 is 464167654701.

107456761464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1184604 + ... + 1272084.

It is an arithmetic number, because the mean of its divisors is an integer number (2351516160).

Almost surely, 2^107456761464 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 107456761464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150497034240).

107456761464 is an abundant number, since it is smaller than the sum of its proper divisors (193537307016).

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

107456761464 is a wasteful number, since it uses less digits than its factorization.

107456761464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87661 (or 87657 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 107456761464 in words is "one hundred seven billion, four hundred fifty-six million, seven hundred sixty-one thousand, four hundred sixty-four".