49640947200 has 1200 divisors, whose sum is σ = 206291796480. Its totient is φ = 11705057280.

The previous prime is 49640947199. The next prime is 49640947243. The reversal of 49640947200 is 274904694.

49640947200 is a `hidden beast` number, since 496 + 4 + 0 + 94 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 390873537 + ... + 390873663.

Almost surely, 2^49640947200 is an apocalyptic number.

49640947200 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 49640947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103145898240).

49640947200 is an abundant number, since it is smaller than the sum of its proper divisors (156650849280).

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

49640947200 is a wasteful number, since it uses less digits than its factorization.

49640947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 49640947200 in words is "forty-nine billion, six hundred forty million, nine hundred forty-seven thousand, two hundred".