49037688000 has 672 divisors, whose sum is σ = 202129948800. Its totient is φ = 11116339200.

The previous prime is 49037687999. The next prime is 49037688083. The reversal of 49037688000 is 88673094.

It is a happy number.

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

It is a hoax number, since the sum of its digits (45) 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 (45).

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, 75095674 + ... + 75096326.

Almost surely, 2^49037688000 is an apocalyptic number.

49037688000 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 49037688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101064974400).

49037688000 is an abundant number, since it is smaller than the sum of its proper divisors (153092260800).

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

49037688000 is a wasteful number, since it uses less digits than its factorization.

49037688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 49037688000 in words is "forty-nine billion, thirty-seven million, six hundred eighty-eight thousand".