49762804896 has 240 divisors, whose sum is σ = 169618458240. Its totient is φ = 14017328640.

The previous prime is 49762804873. The next prime is 49762804913. The reversal of 49762804896 is 69840826794.

49762804896 is a `hidden beast` number, since 4 + 9 + 76 + 2 + 80 + 489 + 6 = 666.

It is a super-2 number, since 2×49762804896² (a number of 22 digits) contains 22 as substring.

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

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 39 ways as a sum of consecutive naturals, for example, 1268910 + ... + 1307538.

It is an arithmetic number, because the mean of its divisors is an integer number (706743576).

Almost surely, 2^49762804896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49762804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84809229120).

49762804896 is an abundant number, since it is smaller than the sum of its proper divisors (119855653344).

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

49762804896 is a wasteful number, since it uses less digits than its factorization.

49762804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38729 (or 38712 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 49762804896 in words is "forty-nine billion, seven hundred sixty-two million, eight hundred four thousand, eight hundred ninety-six".