49279659264 has 216 divisors, whose sum is σ = 155270187072. Its totient is φ = 14907432960.

The previous prime is 49279659259. The next prime is 49279659281. The reversal of 49279659264 is 46295697294.

49279659264 is a `hidden beast` number, since 49 + 279 + 65 + 9 + 264 = 666.

49279659264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18829284 + ... + 18831900.

Almost surely, 2^49279659264 is an apocalyptic number.

49279659264 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 49279659264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77635093536).

49279659264 is an abundant number, since it is smaller than the sum of its proper divisors (105990527808).

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

49279659264 is a wasteful number, since it uses less digits than its factorization.

49279659264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3376 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 49279659264 in words is "forty-nine billion, two hundred seventy-nine million, six hundred fifty-nine thousand, two hundred sixty-four".