49672320768 has 1080 divisors, whose sum is σ = 189469969920. Its totient is φ = 12854661120.

The previous prime is 49672320739. The next prime is 49672320827. The reversal of 49672320768 is 86702327694.

49672320768 is a `hidden beast` number, since 496 + 72 + 3 + 20 + 7 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 598461655 + ... + 598461737.

Almost surely, 2^49672320768 is an apocalyptic number.

49672320768 is a gapful number since it is divisible by the number (48) 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 49672320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94734984960).

49672320768 is an abundant number, since it is smaller than the sum of its proper divisors (139797649152).

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

49672320768 is a wasteful number, since it uses less digits than its factorization.

49672320768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 49672320768 in words is "forty-nine billion, six hundred seventy-two million, three hundred twenty thousand, seven hundred sixty-eight".