49627537920 has 1280 divisors, whose sum is σ = 203644108800. Its totient is φ = 11386552320.

The previous prime is 49627537909. The next prime is 49627537931. The reversal of 49627537920 is 2973572694.

49627537920 is a `hidden beast` number, since 4 + 9 + 627 + 5 + 3 + 7 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49627537909) and next prime (49627537931).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 936368614 + ... + 936368666.

It is an arithmetic number, because the mean of its divisors is an integer number (159096960).

Almost surely, 2^49627537920 is an apocalyptic number.

49627537920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49627537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101822054400).

49627537920 is an abundant number, since it is smaller than the sum of its proper divisors (154016570880).

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

49627537920 is a wasteful number, since it uses less digits than its factorization.

49627537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 49627537920 in words is "forty-nine billion, six hundred twenty-seven million, five hundred thirty-seven thousand, nine hundred twenty".