7955640662112 has 768 divisors, whose sum is σ = 27772138275840. Its totient is φ = 2211248056320.

The previous prime is 7955640662083. The next prime is 7955640662201. The reversal of 7955640662112 is 2112660465597.

7955640662112 is a `hidden beast` number, since 7 + 9 + 5 + 5 + 6 + 4 + 0 + 6 + 621 + 1 + 2 = 666.

It is a super-3 number, since 3×7955640662112³ (a number of 40 digits) contains 333 as substring.

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 127 ways as a sum of consecutive naturals, for example, 1631254618 + ... + 1631259494.

It is an arithmetic number, because the mean of its divisors is an integer number (36161638380).

Almost surely, 2^{7955640662112} is an apocalyptic number.

7955640662112 is a gapful number since it is divisible by the number (72) 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 7955640662112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13886069137920).

7955640662112 is an abundant number, since it is smaller than the sum of its proper divisors (19816497613728).

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

7955640662112 is a wasteful number, since it uses less digits than its factorization.

7955640662112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 7955640662112 in words is "seven trillion, nine hundred fifty-five billion, six hundred forty million, six hundred sixty-two thousand, one hundred twelve".