7906993233480 has 1024 divisors, whose sum is σ = 29608221081600. Its totient is φ = 1860921216000.

The previous prime is 7906993233437. The next prime is 7906993233481. The reversal of 7906993233480 is 843323996097.

7906993233480 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 99 + 32 + 33 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (7906993233481) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 23888196915 + ... + 23888197245.

It is an arithmetic number, because the mean of its divisors is an integer number (28914278400).

Almost surely, 2^{7906993233480} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7906993233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14804110540800).

7906993233480 is an abundant number, since it is smaller than the sum of its proper divisors (21701227848120).

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

7906993233480 is a wasteful number, since it uses less digits than its factorization.

7906993233480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 7906993233480 in words is "seven trillion, nine hundred six billion, nine hundred ninety-three million, two hundred thirty-three thousand, four hundred eighty".