49399672320 has 480 divisors, whose sum is σ = 181110676032. Its totient is φ = 12418154496.

The previous prime is 49399672181. The next prime is 49399672351. The reversal of 49399672320 is 2327699394.

49399672320 is a `hidden beast` number, since 493 + 99 + 67 + 2 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38683522 + ... + 38684798.

Almost surely, 2^49399672320 is an apocalyptic number.

49399672320 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 49399672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90555338016).

49399672320 is an abundant number, since it is smaller than the sum of its proper divisors (131711003712).

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

49399672320 is a wasteful number, since it uses less digits than its factorization.

49399672320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 49399672320 in words is "forty-nine billion, three hundred ninety-nine million, six hundred seventy-two thousand, three hundred twenty".