7942375333152 has 768 divisors, whose sum is σ = 26731424563200. Its totient is φ = 2276498165760.

The previous prime is 7942375333103. The next prime is 7942375333219. The reversal of 7942375333152 is 2513335732497.

7942375333152 is a `hidden beast` number, since 7 + 9 + 4 + 23 + 7 + 533 + 31 + 52 = 666.

It is a super-2 number, since 2×7942375333152² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1086950683 + ... + 1086957989.

It is an arithmetic number, because the mean of its divisors is an integer number (34806542400).

Almost surely, 2^{7942375333152} is an apocalyptic number.

7942375333152 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 7942375333152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13365712281600).

7942375333152 is an abundant number, since it is smaller than the sum of its proper divisors (18789049230048).

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

7942375333152 is a wasteful number, since it uses less digits than its factorization.

7942375333152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7472 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 54.

The spelling of 7942375333152 in words is "seven trillion, nine hundred forty-two billion, three hundred seventy-five million, three hundred thirty-three thousand, one hundred fifty-two".