49654624320 has 672 divisors, whose sum is σ = 214529212800. Its totient is φ = 10750537728.

The previous prime is 49654624297. The next prime is 49654624337. The reversal of 49654624320 is 2342645694.

49654624320 is a `hidden beast` number, since 49 + 6 + 546 + 2 + 43 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8040754 + ... + 8046926.

It is an arithmetic number, because the mean of its divisors is an integer number (319239900).

Almost surely, 2^49654624320 is an apocalyptic number.

49654624320 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 49654624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107264606400).

49654624320 is an abundant number, since it is smaller than the sum of its proper divisors (164874588480).

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

49654624320 is a wasteful number, since it uses less digits than its factorization.

49654624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 49654624320 in words is "forty-nine billion, six hundred fifty-four million, six hundred twenty-four thousand, three hundred twenty".