45676610400 has 72 divisors (see below), whose sum is σ = 148677374664. Its totient is φ = 12180428800.

The previous prime is 45676610393. The next prime is 45676610407. The reversal of 45676610400 is 401667654.

It is an interprime number because it is at equal distance from previous prime (45676610393) and next prime (45676610407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45676610407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9513561 + ... + 9518360.

It is an arithmetic number, because the mean of its divisors is an integer number (2064963537).

Almost surely, 2^45676610400 is an apocalyptic number.

45676610400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45676610400 is an abundant number, since it is smaller than the sum of its proper divisors (103000764264).

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

45676610400 is a wasteful number, since it uses less digits than its factorization.

45676610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19031944 (or 19031931 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 45676610400 in words is "forty-five billion, six hundred seventy-six million, six hundred ten thousand, four hundred".