48726566064 has 480 divisors, whose sum is σ = 169054179840. Its totient is φ = 13412044800.

The previous prime is 48726565999. The next prime is 48726566089. The reversal of 48726566064 is 46066562784.

48726566064 is a `hidden beast` number, since 4 + 8 + 7 + 26 + 5 + 6 + 606 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 48726566064.

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, 21083469 + ... + 21085779.

It is an arithmetic number, because the mean of its divisors is an integer number (352196208).

Almost surely, 2^48726566064 is an apocalyptic number.

48726566064 is a gapful number since it is divisible by the number (44) 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 48726566064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84527089920).

48726566064 is an abundant number, since it is smaller than the sum of its proper divisors (120327613776).

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

48726566064 is a wasteful number, since it uses less digits than its factorization.

48726566064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 2373 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 48726566064 in words is "forty-eight billion, seven hundred twenty-six million, five hundred sixty-six thousand, sixty-four".