7949793600000 has 2880 divisors, whose sum is σ = 35745424146432. Its totient is φ = 1724405760000.

The previous prime is 7949793599981. The next prime is 7949793600017. The reversal of 7949793600000 is 63979497.

7949793600000 is a `hidden beast` number, since 7 + 9 + 497 + 93 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7949793600000.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 62596799937 + ... + 62596800063.

Almost surely, 2^{7949793600000} is an apocalyptic number.

7949793600000 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 7949793600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872712073216).

7949793600000 is an abundant number, since it is smaller than the sum of its proper divisors (27795630546432).

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

7949793600000 is an frugal number, since it uses more digits than its factorization.

7949793600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 7949793600000 in words is "seven trillion, nine hundred forty-nine billion, seven hundred ninety-three million, six hundred thousand".