696165002400 has 288 divisors, whose sum is σ = 2597218767360. Its totient is φ = 158663531520.

The previous prime is 696165002389. The next prime is 696165002417. The reversal of 696165002400 is 4200561696.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5769891 + ... + 5889309.

It is an arithmetic number, because the mean of its divisors is an integer number (9018120720).

Almost surely, 2^696165002400 is an apocalyptic number.

696165002400 is a gapful number since it is divisible by the number (60) 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 696165002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298609383680).

696165002400 is an abundant number, since it is smaller than the sum of its proper divisors (1901053764960).

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

696165002400 is a wasteful number, since it uses less digits than its factorization.

696165002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119796 (or 119783 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 696165002400 in words is "six hundred ninety-six billion, one hundred sixty-five million, two thousand, four hundred".