7942191505920 has 640 divisors, whose sum is σ = 32403926016000. Its totient is φ = 1806213758976.

The previous prime is 7942191505889. The next prime is 7942191505939. The reversal of 7942191505920 is 295051912497.

It is a happy number.

7942191505920 is a `hidden beast` number, since 7 + 9 + 4 + 21 + 91 + 505 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96242917 + ... + 96325403.

It is an arithmetic number, because the mean of its divisors is an integer number (50631134400).

Almost surely, 2^{7942191505920} is an apocalyptic number.

7942191505920 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 7942191505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16201963008000).

7942191505920 is an abundant number, since it is smaller than the sum of its proper divisors (24461734510080).

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

7942191505920 is a wasteful number, since it uses less digits than its factorization.

7942191505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82725 (or 82703 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 7942191505920 in words is "seven trillion, nine hundred forty-two billion, one hundred ninety-one million, five hundred five thousand, nine hundred twenty".