49646712960 has 768 divisors, whose sum is σ = 200250610560. Its totient is φ = 11221991424.

The previous prime is 49646712937. The next prime is 49646713031. The reversal of 49646712960 is 6921764694.

It is a happy number.

49646712960 is a `hidden beast` number, since 4 + 96 + 467 + 1 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×49646712960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 49646712897 and 49646712906.

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, 54736827 + ... + 54737733.

Almost surely, 2^49646712960 is an apocalyptic number.

49646712960 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 49646712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100125305280).

49646712960 is an abundant number, since it is smaller than the sum of its proper divisors (150603897600).

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

49646712960 is a wasteful number, since it uses less digits than its factorization.

49646712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 49646712960 in words is "forty-nine billion, six hundred forty-six million, seven hundred twelve thousand, nine hundred sixty".