749136342528 has 640 divisors, whose sum is σ = 2593869696000. Its totient is φ = 209058693120.

The previous prime is 749136342497. The next prime is 749136342529. The reversal of 749136342528 is 825243631947.

749136342528 is a `hidden beast` number, since 7 + 4 + 9 + 13 + 63 + 42 + 528 = 666.

It is a super-2 number, since 2×749136342528² (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 not an unprimeable number, because it can be changed into a prime (749136342529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056609438 + ... + 1056610146.

It is an arithmetic number, because the mean of its divisors is an integer number (4052921400).

Almost surely, 2^749136342528 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 749136342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296934848000).

749136342528 is an abundant number, since it is smaller than the sum of its proper divisors (1844733353472).

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

749136342528 is a wasteful number, since it uses less digits than its factorization.

749136342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 961 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 749136342528 in words is "seven hundred forty-nine billion, one hundred thirty-six million, three hundred forty-two thousand, five hundred twenty-eight".