49479778656 has 576 divisors, whose sum is σ = 185452001280. Its totient is φ = 12137287680.

The previous prime is 49479778643. The next prime is 49479778681. The reversal of 49479778656 is 65687797494.

49479778656 is a `hidden beast` number, since 4 + 9 + 479 + 77 + 86 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 30225070 + ... + 30226706.

It is an arithmetic number, because the mean of its divisors is an integer number (321965280).

Almost surely, 2^49479778656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49479778656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92726000640).

49479778656 is an abundant number, since it is smaller than the sum of its proper divisors (135972222624).

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

49479778656 is a wasteful number, since it uses less digits than its factorization.

49479778656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1736 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 49479778656 in words is "forty-nine billion, four hundred seventy-nine million, seven hundred seventy-eight thousand, six hundred fifty-six".