49632162720 has 576 divisors, whose sum is σ = 186583533696. Its totient is φ = 11054776320.

The previous prime is 49632162719. The next prime is 49632162733. The reversal of 49632162720 is 2726123694.

49632162720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235223415 + ... + 235223625.

It is an arithmetic number, because the mean of its divisors is an integer number (323929746).

Almost surely, 2^49632162720 is an apocalyptic number.

49632162720 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 49632162720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93291766848).

49632162720 is an abundant number, since it is smaller than the sum of its proper divisors (136951370976).

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

49632162720 is a wasteful number, since it uses less digits than its factorization.

49632162720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 49632162720 in words is "forty-nine billion, six hundred thirty-two million, one hundred sixty-two thousand, seven hundred twenty".