749905920000 has 900 divisors, whose sum is σ = 2767925480320. Its totient is φ = 195526656000.

The previous prime is 749905919999. The next prime is 749905920061. The reversal of 749905920000 is 29509947.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7280639949 + ... + 7280640051.

Almost surely, 2^749905920000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749905920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383962740160).

749905920000 is an abundant number, since it is smaller than the sum of its proper divisors (2018019560320).

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

749905920000 is an equidigital number, since it uses as much as digits as its factorization.

749905920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 749905920000 in words is "seven hundred forty-nine billion, nine hundred five million, nine hundred twenty thousand".