49978758896640 has 4224 divisors, whose sum is σ = 235171098316800. Its totient is φ = 9970479267840.

The previous prime is 49978758896639. The next prime is 49978758896669. The reversal of 49978758896640 is 4669885787994.

49978758896640 is a `hidden beast` number, since 499 + 7 + 8 + 7 + 58 + 8 + 9 + 6 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 115959997225 + ... + 115959997655.

Almost surely, 2^{49978758896640} is an apocalyptic number.

49978758896640 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 49978758896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117585549158400).

49978758896640 is an abundant number, since it is smaller than the sum of its proper divisors (185192339420160).

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

49978758896640 is a wasteful number, since it uses less digits than its factorization.

49978758896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 52672757760, while the sum is 90.

The spelling of 49978758896640 in words is "forty-nine trillion, nine hundred seventy-eight billion, seven hundred fifty-eight million, eight hundred ninety-six thousand, six hundred forty".