749250902400 has 768 divisors, whose sum is σ = 3313512921600. Its totient is φ = 143710617600.

The previous prime is 749250902371. The next prime is 749250902429. The reversal of 749250902400 is 4209052947.

749250902400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (749250902371) and next prime (749250902429).

It is a super-2 number, since 2×749250902400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9570616 + ... + 9648584.

It is an arithmetic number, because the mean of its divisors is an integer number (4314469950).

Almost surely, 2^749250902400 is an apocalyptic number.

749250902400 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 749250902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656756460800).

749250902400 is an abundant number, since it is smaller than the sum of its proper divisors (2564262019200).

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

749250902400 is a wasteful number, since it uses less digits than its factorization.

749250902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78027 (or 78010 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 749250902400 in words is "seven hundred forty-nine billion, two hundred fifty million, nine hundred two thousand, four hundred".