7947857272320 has 1600 divisors, whose sum is σ = 34100319154176. Its totient is φ = 1729880064000.

The previous prime is 7947857272307. The next prime is 7947857272337. The reversal of 7947857272320 is 232727587497.

7947857272320 is a `hidden beast` number, since 7 + 9 + 478 + 5 + 72 + 72 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10583031945 + ... + 10583032695.

Almost surely, 2^{7947857272320} is an apocalyptic number.

7947857272320 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 7947857272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17050159577088).

7947857272320 is an abundant number, since it is smaller than the sum of its proper divisors (26152461881856).

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

7947857272320 is a wasteful number, since it uses less digits than its factorization.

7947857272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 7947857272320 in words is "seven trillion, nine hundred forty-seven billion, eight hundred fifty-seven million, two hundred seventy-two thousand, three hundred twenty".