49933664000 has 288 divisors, whose sum is σ = 138897158400. Its totient is φ = 17730048000.

The previous prime is 49933663973. The next prime is 49933664023. The reversal of 49933664000 is 46633994.

It is a super-3 number, since 3×49933664000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15134351 + ... + 15137649.

It is an arithmetic number, because the mean of its divisors is an integer number (482281800).

Almost surely, 2^49933664000 is an apocalyptic number.

49933664000 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 49933664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448579200).

49933664000 is an abundant number, since it is smaller than the sum of its proper divisors (88963494400).

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

49933664000 is a wasteful number, since it uses less digits than its factorization.

49933664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 49933664000 in words is "forty-nine billion, nine hundred thirty-three million, six hundred sixty-four thousand".