7641574988320 has 768 divisors, whose sum is σ = 24327362949120. Its totient is φ = 2200968806400.

The previous prime is 7641574988293. The next prime is 7641574988353. The reversal of 7641574988320 is 238894751467.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 725621455 + ... + 725631985.

It is an arithmetic number, because the mean of its divisors is an integer number (31676253840).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7641574988320 = 15283149976640, but 3⋅7641574988320 = 22924724964960 is not.

Almost surely, 2^{7641574988320} is an apocalyptic number.

7641574988320 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 7641574988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163681474560).

7641574988320 is an abundant number, since it is smaller than the sum of its proper divisors (16685787960800).

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

7641574988320 is a wasteful number, since it uses less digits than its factorization.

7641574988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10689 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 7641574988320 in words is "seven trillion, six hundred forty-one billion, five hundred seventy-four million, nine hundred eighty-eight thousand, three hundred twenty".