7643792572416 has 2304 divisors, whose sum is σ = 31523752653120. Its totient is φ = 1819300331520.

The previous prime is 7643792572397. The next prime is 7643792572463. The reversal of 7643792572416 is 6142752973467.

7643792572416 is a `hidden beast` number, since 7 + 6 + 4 + 379 + 257 + 2 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 55794106300 + ... + 55794106436.

Almost surely, 2^{7643792572416} 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 7643792572416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15761876326560).

7643792572416 is an abundant number, since it is smaller than the sum of its proper divisors (23879960080704).

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

7643792572416 is a wasteful number, since it uses less digits than its factorization.

7643792572416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 173 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 7643792572416 in words is "seven trillion, six hundred forty-three billion, seven hundred ninety-two million, five hundred seventy-two thousand, four hundred sixteen".