4657505760400 has 60 divisors (see below), whose sum is σ = 11379312860400. Its totient is φ = 1831425984640.

The previous prime is 4657505760379. The next prime is 4657505760463. The reversal of 4657505760400 is 40675057564.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98652370 + ... + 98699569.

It is an arithmetic number, because the mean of its divisors is an integer number (189655214340).

Almost surely, 2^{4657505760400} is an apocalyptic number.

4657505760400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4657505760400 is an abundant number, since it is smaller than the sum of its proper divisors (6721807100000).

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

4657505760400 is a wasteful number, since it uses less digits than its factorization.

4657505760400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197352016 (or 197352005 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 49.

The spelling of 4657505760400 in words is "four trillion, six hundred fifty-seven billion, five hundred five million, seven hundred sixty thousand, four hundred".