753028849152 has 320 divisors, whose sum is σ = 2398872801600. Its totient is φ = 232367063040.

The previous prime is 753028849127. The next prime is 753028849193. The reversal of 753028849152 is 251948820357.

753028849152 is a `hidden beast` number, since 7 + 530 + 28 + 84 + 9 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×753028849152² (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 31 ways as a sum of consecutive naturals, for example, 14309224 + ... + 14361752.

It is an arithmetic number, because the mean of its divisors is an integer number (7496477505).

Almost surely, 2^753028849152 is an apocalyptic number.

753028849152 is a gapful number since it is divisible by the number (72) 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 753028849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199436400800).

753028849152 is an abundant number, since it is smaller than the sum of its proper divisors (1645843952448).

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

753028849152 is a wasteful number, since it uses less digits than its factorization.

753028849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52634 (or 52612 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 753028849152 in words is "seven hundred fifty-three billion, twenty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".