743057792064 has 315 divisors, whose sum is σ = 2488061000373. Its totient is φ = 212012591616.

The previous prime is 743057792051. The next prime is 743057792111. The reversal of 743057792064 is 460297750347.

The square root of 743057792064 is 862008.

It is a perfect power (a square), and thus also a powerful number.

743057792064 is a `hidden beast` number, since 7 + 4 + 3 + 0 + 577 + 9 + 2 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 726926760000 + 16131032064 = 852600^2 + 127008^2 .

It is a super-2 number, since 2×743057792064² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 743057792064.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1013721042 + ... + 1013721774.

Almost surely, 2^743057792064 is an apocalyptic number.

743057792064 is the 862008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743057792064

743057792064 is an abundant number, since it is smaller than the sum of its proper divisors (1745003208309).

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

743057792064 is an frugal number, since it uses more digits than its factorization.

743057792064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

It can be divided in two parts, 743057 and 792064, that added together give a square (1535121 = 1239²).

The spelling of 743057792064 in words is "seven hundred forty-three billion, fifty-seven million, seven hundred ninety-two thousand, sixty-four".