749625827328000 has 4896 divisors, whose sum is σ = 3379342230800640. Its totient is φ = 158921234841600.

The previous prime is 749625827327941. The next prime is 749625827328109. The reversal of 749625827328000 is 823728526947.

749625827328000 is a `hidden beast` number, since 7 + 4 + 96 + 258 + 273 + 28 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4598931455919 + ... + 4598931456081.

It is an arithmetic number, because the mean of its divisors is an integer number (690225128840).

Almost surely, 2^{749625827328000} is an apocalyptic number.

749625827328000 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 749625827328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689671115400320).

749625827328000 is an abundant number, since it is smaller than the sum of its proper divisors (2629716403472640).

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

749625827328000 is a wasteful number, since it uses less digits than its factorization.

749625827328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 749625827328000 in words is "seven hundred forty-nine trillion, six hundred twenty-five billion, eight hundred twenty-seven million, three hundred twenty-eight thousand".