49407627733632 has 96 divisors (see below), whose sum is σ = 162486394805280. Its totient is φ = 14116465064448.

The previous prime is 49407627733621. The next prime is 49407627733733. The reversal of 49407627733632 is 23633772670494.

It is a happy number.

49407627733632 is a `hidden beast` number, since 49 + 407 + 62 + 7 + 73 + 3 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×49407627733632² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 49407627733632.

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, 3063460918 + ... + 3063477045.

It is an arithmetic number, because the mean of its divisors is an integer number (1692566612555).

Almost surely, 2^{49407627733632} is an apocalyptic number.

49407627733632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49407627733632 is an abundant number, since it is smaller than the sum of its proper divisors (113078767071648).

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

49407627733632 is a wasteful number, since it uses less digits than its factorization.

49407627733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126937990 (or 6126937975 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 63.

The spelling of 49407627733632 in words is "forty-nine trillion, four hundred seven billion, six hundred twenty-seven million, seven hundred thirty-three thousand, six hundred thirty-two".