49645872000 has 576 divisors, whose sum is σ = 186544809360. Its totient is φ = 13121740800.

The previous prime is 49645871999. The next prime is 49645872011. The reversal of 49645872000 is 27854694.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

49645872000 is a `hidden beast` number, since 4 + 9 + 64 + 587 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439343944 + ... + 439344056.

Almost surely, 2^49645872000 is an apocalyptic number.

49645872000 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 49645872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93272404680).

49645872000 is an abundant number, since it is smaller than the sum of its proper divisors (136898937360).

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

49645872000 is an frugal number, since it uses more digits than its factorization.

49645872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 49645872000 in words is "forty-nine billion, six hundred forty-five million, eight hundred seventy-two thousand".