49645760000 has 200 divisors, whose sum is σ = 124829979120. Its totient is φ = 19718144000.

The previous prime is 49645759997. The next prime is 49645760029. The reversal of 49645760000 is 6754694.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×49645760000³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 49645760000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53439536 + ... + 53440464.

Almost surely, 2^49645760000 is an apocalyptic number.

49645760000 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 49645760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62414989560).

49645760000 is an abundant number, since it is smaller than the sum of its proper divisors (75184219120).

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

49645760000 is an frugal number, since it uses more digits than its factorization.

49645760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 49645760000 in words is "forty-nine billion, six hundred forty-five million, seven hundred sixty thousand".