7956847987200 has 4320 divisors, whose sum is σ = 37804974951744. Its totient is φ = 1645396623360.

The previous prime is 7956847987199. The next prime is 7956847987229. The reversal of 7956847987200 is 27897486597.

7956847987200 is a `hidden beast` number, since 7 + 9 + 56 + 8 + 479 + 87 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×7956847987200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 95865638359 + ... + 95865638441.

Almost surely, 2^{7956847987200} is an apocalyptic number.

7956847987200 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 7956847987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18902487475872).

7956847987200 is an abundant number, since it is smaller than the sum of its proper divisors (29848126964544).

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

7956847987200 is a wasteful number, since it uses less digits than its factorization.

7956847987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 7956847987200 in words is "seven trillion, nine hundred fifty-six billion, eight hundred forty-seven million, nine hundred eighty-seven thousand, two hundred".