749540377600 has 297 divisors, whose sum is σ = 2164091267847. Its totient is φ = 256652820480.

The previous prime is 749540377549. The next prime is 749540377601. The reversal of 749540377600 is 6773045947.

The square root of 749540377600 is 865760.

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

It can be written as a sum of positive squares in 4 ways, for example, as 290702132224 + 458838245376 = 539168^2 + 677376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (749540377601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 969650814 + ... + 969651586.

Almost surely, 2^749540377600 is an apocalyptic number.

749540377600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749540377600 is the 865760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749540377600

749540377600 is an abundant number, since it is smaller than the sum of its proper divisors (1414550890247).

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

749540377600 is an frugal number, since it uses more digits than its factorization.

749540377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 749540377600 in words is "seven hundred forty-nine billion, five hundred forty million, three hundred seventy-seven thousand, six hundred".