749034922446720 has 6144 divisors, whose sum is σ = 3471653010309120. Its totient is φ = 144626732236800.

The previous prime is 749034922446697. The next prime is 749034922446721. The reversal of 749034922446720 is 27644229430947.

749034922446720 is a `hidden beast` number, since 7 + 4 + 9 + 0 + 34 + 92 + 2 + 446 + 72 + 0 = 666.

It is a super-2 number, since 2×749034922446720² (a number of 31 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749034922446721) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 4329681632554 + ... + 4329681632726.

It is an arithmetic number, because the mean of its divisors is an integer number (565047690480).

Almost surely, 2^{749034922446720} is an apocalyptic number.

749034922446720 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 749034922446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735826505154560).

749034922446720 is an abundant number, since it is smaller than the sum of its proper divisors (2722618087862400).

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

749034922446720 is a wasteful number, since it uses less digits than its factorization.

749034922446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 749034922446720 in words is "seven hundred forty-nine trillion, thirty-four billion, nine hundred twenty-two million, four hundred forty-six thousand, seven hundred twenty".