49567950720 has 768 divisors, whose sum is σ = 185673945600. Its totient is φ = 12160253952.

The previous prime is 49567950643. The next prime is 49567950737. The reversal of 49567950720 is 2705976594.

49567950720 is a `hidden beast` number, since 4 + 9 + 567 + 9 + 5 + 0 + 72 + 0 = 666.

49567950720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 481242189 + ... + 481242291.

It is an arithmetic number, because the mean of its divisors is an integer number (241762950).

Almost surely, 2^49567950720 is an apocalyptic number.

49567950720 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 49567950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92836972800).

49567950720 is an abundant number, since it is smaller than the sum of its proper divisors (136105994880).

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

49567950720 is a wasteful number, since it uses less digits than its factorization.

49567950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 49567950720 in words is "forty-nine billion, five hundred sixty-seven million, nine hundred fifty thousand, seven hundred twenty".