749094912000 has 1920 divisors, whose sum is σ = 3140598988800. Its totient is φ = 175177728000.

The previous prime is 749094911993. The next prime is 749094912011. The reversal of 749094912000 is 219490947.

It is a happy number.

749094912000 is a `hidden beast` number, since 74 + 90 + 9 + 491 + 2 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×749094912000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 24164351985 + ... + 24164352015.

It is an arithmetic number, because the mean of its divisors is an integer number (1635728640).

Almost surely, 2^749094912000 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 749094912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570299494400).

749094912000 is an abundant number, since it is smaller than the sum of its proper divisors (2391504076800).

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

749094912000 is a wasteful number, since it uses less digits than its factorization.

749094912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 749094912000 in words is "seven hundred forty-nine billion, ninety-four million, nine hundred twelve thousand".