740356993600 has 315 divisors, whose sum is σ = 2130090074457. Its totient is φ = 253258467840.

The previous prime is 740356993561. The next prime is 740356993601. The reversal of 740356993600 is 6399653047.

The square root of 740356993600 is 860440.

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

It can be written as a sum of positive squares in only one way, i.e., 266528517696 + 473828475904 = 516264^2 + 688352^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (740356993601) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1686462181 + ... + 1686462619.

Almost surely, 2^740356993600 is an apocalyptic number.

740356993600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

740356993600 is the 860440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740356993600

740356993600 is an abundant number, since it is smaller than the sum of its proper divisors (1389733080857).

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

740356993600 is an frugal number, since it uses more digits than its factorization.

740356993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 740356993600 in words is "seven hundred forty billion, three hundred fifty-six million, nine hundred ninety-three thousand, six hundred".