709901599680000 has 6400 divisors, whose sum is σ = 3338936174407680. Its totient is φ = 146731253760000.

The previous prime is 709901599679981. The next prime is 709901599680001. The reversal of 709901599680000 is 86995109907.

It is a tau number, because it is divible by the number of its divisors (6400).

It is a super-2 number, since 2×709901599680000² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 709901599680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (709901599680001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 4521666239922 + ... + 4521666240078.

Almost surely, 2^{709901599680000} is an apocalyptic number.

709901599680000 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 709901599680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669468087203840).

709901599680000 is an abundant number, since it is smaller than the sum of its proper divisors (2629034574727680).

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

709901599680000 is an frugal number, since it uses more digits than its factorization.

709901599680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 63.

The spelling of 709901599680000 in words is "seven hundred nine trillion, nine hundred one billion, five hundred ninety-nine million, six hundred eighty thousand".