49780459008 has 720 divisors, whose sum is σ = 178796011680. Its totient is φ = 13544423424.

The previous prime is 49780458971. The next prime is 49780459013. The reversal of 49780459008 is 80095408794.

49780459008 is a `hidden beast` number, since 49 + 7 + 8 + 0 + 4 + 590 + 0 + 8 = 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 71 ways as a sum of consecutive naturals, for example, 681924060 + ... + 681924132.

It is an arithmetic number, because the mean of its divisors is an integer number (248327794).

Almost surely, 2^49780459008 is an apocalyptic number.

49780459008 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 49780459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89398005840).

49780459008 is an abundant number, since it is smaller than the sum of its proper divisors (129015552672).

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

49780459008 is an frugal number, since it uses more digits than its factorization.

49780459008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 49780459008 in words is "forty-nine billion, seven hundred eighty million, four hundred fifty-nine thousand, eight".