49742347200 has 672 divisors, whose sum is σ = 202086398976. Its totient is φ = 10431037440.

The previous prime is 49742347199. The next prime is 49742347253. The reversal of 49742347200 is 274324794.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×49742347200² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 114878184 + ... + 114878616.

It is an arithmetic number, because the mean of its divisors is an integer number (300723808).

Almost surely, 2^49742347200 is an apocalyptic number.

49742347200 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 49742347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101043199488).

49742347200 is an abundant number, since it is smaller than the sum of its proper divisors (152344051776).

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

49742347200 is a wasteful number, since it uses less digits than its factorization.

49742347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 49742347200 in words is "forty-nine billion, seven hundred forty-two million, three hundred forty-seven thousand, two hundred".