757214640 has 540 divisors, whose sum is σ = 3228436224. Its totient is φ = 158505984.

The previous prime is 757214639. The next prime is 757214669. The reversal of 757214640 is 46412757.

757214640 is a `hidden beast` number, since 7 + 5 + 7 + 2 + 1 + 4 + 640 = 666.

It is a super-2 number, since 2×757214640² = 1146748022060659200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 757214595 and 757214604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5962257 + ... + 5962383.

Almost surely, 2^757214640 is an apocalyptic number.

757214640 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 757214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614218112).

757214640 is an abundant number, since it is smaller than the sum of its proper divisors (2471221584).

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

757214640 is a wasteful number, since it uses less digits than its factorization.

757214640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 757214640 is about 27517.5333196855. The cubic root of 757214640 is about 911.4643091377.

The spelling of 757214640 in words is "seven hundred fifty-seven million, two hundred fourteen thousand, six hundred forty".