49379097600 has 792 divisors, whose sum is σ = 214062290208. Its totient is φ = 10616832000.

The previous prime is 49379097571. The next prime is 49379097641. The reversal of 49379097600 is 679097394.

49379097600 is a `hidden beast` number, since 493 + 7 + 9 + 0 + 97 + 60 + 0 = 666.

49379097600 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 71 ways as a sum of consecutive naturals, for example, 27416700 + ... + 27418500.

Almost surely, 2^49379097600 is an apocalyptic number.

49379097600 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 49379097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107031145104).

49379097600 is an abundant number, since it is smaller than the sum of its proper divisors (164683192608).

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

49379097600 is a wasteful number, since it uses less digits than its factorization.

49379097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 49379097600 in words is "forty-nine billion, three hundred seventy-nine million, ninety-seven thousand, six hundred".