713577690 has 288 divisors, whose sum is σ = 2281758336. Its totient is φ = 154103040.

The previous prime is 713577679. The next prime is 713577727. The reversal of 713577690 is 96775317.

713577690 is a `hidden beast` number, since 7 + 13 + 577 + 69 + 0 = 666.

It is a super-2 number, since 2×713577690² = 1018386239331472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

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 143 ways as a sum of consecutive naturals, for example, 10050355 + ... + 10050425.

It is an arithmetic number, because the mean of its divisors is an integer number (7922772).

Almost surely, 2^713577690 is an apocalyptic number.

713577690 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 713577690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140879168).

713577690 is an abundant number, since it is smaller than the sum of its proper divisors (1568180646).

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

713577690 is a wasteful number, since it uses less digits than its factorization.

713577690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The square root of 713577690 is about 26712.8749856694. The cubic root of 713577690 is about 893.6080815950.

The spelling of 713577690 in words is "seven hundred thirteen million, five hundred seventy-seven thousand, six hundred ninety".