49617864000 has 336 divisors, whose sum is σ = 178434796800. Its totient is φ = 13161139200.

The previous prime is 49617863963. The next prime is 49617864007. The reversal of 49617864000 is 46871694.

It is a super-4 number, since 4×49617864000⁴ (a number of 44 digits) contains 4444 as substring.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49617864007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14326269 + ... + 14329731.

Almost surely, 2^49617864000 is an apocalyptic number.

49617864000 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 49617864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89217398400).

49617864000 is an abundant number, since it is smaller than the sum of its proper divisors (128816932800).

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

49617864000 is a wasteful number, since it uses less digits than its factorization.

49617864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3672 counting only the distinct ones).

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

The spelling of 49617864000 in words is "forty-nine billion, six hundred seventeen million, eight hundred sixty-four thousand".