7934132557824 has 1536 divisors, whose sum is σ = 27104523264000. Its totient is φ = 2031353856000.

The previous prime is 7934132557823. The next prime is 7934132557831. The reversal of 7934132557824 is 4287552314397.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×7934132557824² (a number of 27 digits) contains 22 as substring.

Its product of digits (50803200) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7934132557823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52543924149 + ... + 52543924299.

It is an arithmetic number, because the mean of its divisors is an integer number (17646174000).

Almost surely, 2^{7934132557824} 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 7934132557824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13552261632000).

7934132557824 is an abundant number, since it is smaller than the sum of its proper divisors (19170390706176).

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

7934132557824 is a wasteful number, since it uses less digits than its factorization.

7934132557824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 60.

The spelling of 7934132557824 in words is "seven trillion, nine hundred thirty-four billion, one hundred thirty-two million, five hundred fifty-seven thousand, eight hundred twenty-four".