4632157255760 has 40 divisors (see below), whose sum is σ = 10769960265480. Its totient is φ = 1852829414912.

The previous prime is 4632157255751. The next prime is 4632157255801. The reversal of 4632157255760 is 675527512364.

It can be written as a sum of positive squares in 4 ways, for example, as 2552031810064 + 2080125445696 = 1597508^2 + 1442264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4195106 + ... + 5182974.

It is an arithmetic number, because the mean of its divisors is an integer number (269249006637).

Almost surely, 2^{4632157255760} is an apocalyptic number.

4632157255760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4632157255760 is an abundant number, since it is smaller than the sum of its proper divisors (6137803009720).

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

4632157255760 is a wasteful number, since it uses less digits than its factorization.

4632157255760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046495 (or 1046489 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 53.

The spelling of 4632157255760 in words is "four trillion, six hundred thirty-two billion, one hundred fifty-seven million, two hundred fifty-five thousand, seven hundred sixty".