700794053406720 has 4160 divisors, whose sum is σ = 3341189001427200. Its totient is φ = 139137235550208.

The previous prime is 700794053406701. The next prime is 700794053406751. The reversal of 700794053406720 is 27604350497007.

700794053406720 is a `hidden beast` number, since 7 + 0 + 0 + 7 + 9 + 40 + 534 + 0 + 67 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

It is a super-3 number, since 3×700794053406720³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 125748077854 + ... + 125748083426.

Almost surely, 2^{700794053406720} is an apocalyptic number.

700794053406720 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 700794053406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670594500713600).

700794053406720 is an abundant number, since it is smaller than the sum of its proper divisors (2640394948020480).

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

700794053406720 is a wasteful number, since it uses less digits than its factorization.

700794053406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5665 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 700794053406720 in words is "seven hundred trillion, seven hundred ninety-four billion, fifty-three million, four hundred six thousand, seven hundred twenty".