48776048640 has 780 divisors, whose sum is σ = 192981205032. Its totient is φ = 11824496640.

The previous prime is 48776048621. The next prime is 48776048681. The reversal of 48776048640 is 4684067784.

48776048640 is a `hidden beast` number, since 487 + 7 + 60 + 48 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4434186235 + ... + 4434186245.

Almost surely, 2^48776048640 is an apocalyptic number.

48776048640 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 48776048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96490602516).

48776048640 is an abundant number, since it is smaller than the sum of its proper divisors (144205156392).

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

48776048640 is an frugal number, since it uses more digits than its factorization.

48776048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 48776048640 in words is "forty-eight billion, seven hundred seventy-six million, forty-eight thousand, six hundred forty".