749939904000 has 1920 divisors, whose sum is σ = 3418834573440. Its totient is φ = 161021952000.

The previous prime is 749939903941. The next prime is 749939904013. The reversal of 749939904000 is 409939947.

749939904000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×749939904000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1439423740 + ... + 1439424260.

It is an arithmetic number, because the mean of its divisors is an integer number (1780643007).

Almost surely, 2^749939904000 is an apocalyptic number.

749939904000 is a gapful number since it is divisible by the number (70) 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 749939904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709417286720).

749939904000 is an abundant number, since it is smaller than the sum of its proper divisors (2668894669440).

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

749939904000 is a wasteful number, since it uses less digits than its factorization.

749939904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 749939904000 in words is "seven hundred forty-nine billion, nine hundred thirty-nine million, nine hundred four thousand".