49347040320 has 672 divisors, whose sum is σ = 185059929600. Its totient is φ = 12499329024.

The previous prime is 49347040313. The next prime is 49347040321. The reversal of 49347040320 is 2304074394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49347040321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 178148022 + ... + 178148298.

It is an arithmetic number, because the mean of its divisors is an integer number (275386800).

Almost surely, 2^49347040320 is an apocalyptic number.

49347040320 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 49347040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92529964800).

49347040320 is an abundant number, since it is smaller than the sum of its proper divisors (135712889280).

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

49347040320 is a wasteful number, since it uses less digits than its factorization.

49347040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 49347040320 in words is "forty-nine billion, three hundred forty-seven million, forty thousand, three hundred twenty".