49790695680 has 288 divisors, whose sum is σ = 192751816320. Its totient is φ = 12070379520.

The previous prime is 49790695627. The next prime is 49790695729. The reversal of 49790695680 is 8659609794.

It is a happy number.

49790695680 is a `hidden beast` number, since 4 + 9 + 7 + 9 + 0 + 69 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×49790695680² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314674 + ... + 445646.

It is an arithmetic number, because the mean of its divisors is an integer number (669277140).

Almost surely, 2^49790695680 is an apocalyptic number.

49790695680 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 49790695680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96375908160).

49790695680 is an abundant number, since it is smaller than the sum of its proper divisors (142961120640).

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

49790695680 is a wasteful number, since it uses less digits than its factorization.

49790695680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131014 (or 130994 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 49790695680 in words is "forty-nine billion, seven hundred ninety million, six hundred ninety-five thousand, six hundred eighty".