49876944768 has 576 divisors, whose sum is σ = 178657708320. Its totient is φ = 13284311040.

The previous prime is 49876944751. The next prime is 49876944781. The reversal of 49876944768 is 86744967894.

49876944768 is a `hidden beast` number, since 4 + 98 + 7 + 69 + 4 + 476 + 8 = 666.

49876944768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49876944696 and 49876944705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53229996 + ... + 53230932.

Almost surely, 2^49876944768 is an apocalyptic number.

49876944768 is a gapful number since it is divisible by the number (48) 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 49876944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89328854160).

49876944768 is an abundant number, since it is smaller than the sum of its proper divisors (128780763552).

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

49876944768 is a wasteful number, since it uses less digits than its factorization.

49876944768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1013 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 72.

The spelling of 49876944768 in words is "forty-nine billion, eight hundred seventy-six million, nine hundred forty-four thousand, seven hundred sixty-eight".