49260809664 has 280 divisors, whose sum is σ = 160865198208. Its totient is φ = 14780828160.

The previous prime is 49260809639. The next prime is 49260809699. The reversal of 49260809664 is 46690806294.

49260809664 is a `hidden beast` number, since 492 + 6 + 0 + 8 + 0 + 96 + 64 = 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 49260809664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5869279 + ... + 5877665.

Almost surely, 2^49260809664 is an apocalyptic number.

49260809664 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 49260809664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80432599104).

49260809664 is an abundant number, since it is smaller than the sum of its proper divisors (111604388544).

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

49260809664 is a wasteful number, since it uses less digits than its factorization.

49260809664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8525 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49260809664 in words is "forty-nine billion, two hundred sixty million, eight hundred nine thousand, six hundred sixty-four".