7895376986112 has 1140 divisors, whose sum is σ = 29699474432320. Its totient is φ = 2046075863040.

The previous prime is 7895376986093. The next prime is 7895376986131. The reversal of 7895376986112 is 2116896735987.

7895376986112 is a `hidden beast` number, since 7 + 8 + 9 + 537 + 6 + 9 + 86 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7895376986093) and next prime (7895376986131).

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 59 ways as a sum of consecutive naturals, for example, 17984913189 + ... + 17984913627.

Almost surely, 2^{7895376986112} is an apocalyptic number.

7895376986112 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 7895376986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14849737216160).

7895376986112 is an abundant number, since it is smaller than the sum of its proper divisors (21804097446208).

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

7895376986112 is an frugal number, since it uses more digits than its factorization.

7895376986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 462 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 7895376986112 in words is "seven trillion, eight hundred ninety-five billion, three hundred seventy-six million, nine hundred eighty-six thousand, one hundred twelve".