1172697640704 has 288 divisors, whose sum is σ = 3546270013440. Its totient is φ = 382084190208.

The previous prime is 1172697640663. The next prime is 1172697640801. The reversal of 1172697640704 is 4070467962711.

It is a happy number.

1172697640704 is a `hidden beast` number, since 1 + 172 + 69 + 7 + 6 + 407 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314141622 + ... + 314145354.

Almost surely, 2^{1172697640704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1172697640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773135006720).

1172697640704 is an abundant number, since it is smaller than the sum of its proper divisors (2373572372736).

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

1172697640704 is an equidigital number, since it uses as much as digits as its factorization.

1172697640704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4772 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1172697640704 in words is "one trillion, one hundred seventy-two billion, six hundred ninety-seven million, six hundred forty thousand, seven hundred four".