713820377088 has 1456 divisors, whose sum is σ = 2743413071616. Its totient is φ = 180592312320.

The previous prime is 713820377057. The next prime is 713820377131. The reversal of 713820377088 is 880773028317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10053808093 + ... + 10053808163.

Almost surely, 2^713820377088 is an apocalyptic number.

713820377088 is a gapful number since it is divisible by the number (78) 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 713820377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371706535808).

713820377088 is an abundant number, since it is smaller than the sum of its proper divisors (2029592694528).

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

713820377088 is an equidigital number, since it uses as much as digits as its factorization.

713820377088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 713820377088 in words is "seven hundred thirteen billion, eight hundred twenty million, three hundred seventy-seven thousand, eighty-eight".