7872041329344 has 336 divisors, whose sum is σ = 23575330291968. Its totient is φ = 2604343477248.

The previous prime is 7872041329337. The next prime is 7872041329351. The reversal of 7872041329344 is 4439231402787.

7872041329344 is a `hidden beast` number, since 7 + 87 + 20 + 413 + 2 + 93 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (7872041329337) and next prime (7872041329351).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069953747 + ... + 2069957549.

It is an arithmetic number, because the mean of its divisors is an integer number (70164673488).

Almost surely, 2^{7872041329344} 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 7872041329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787665145984).

7872041329344 is an abundant number, since it is smaller than the sum of its proper divisors (15703288962624).

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

7872041329344 is a wasteful number, since it uses less digits than its factorization.

7872041329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 7872041329344 in words is "seven trillion, eight hundred seventy-two billion, forty-one million, three hundred twenty-nine thousand, three hundred forty-four".