7664280074352 has 320 divisors, whose sum is σ = 25799891558400. Its totient is φ = 2153456305920.

The previous prime is 7664280074323. The next prime is 7664280074383. The reversal of 7664280074352 is 2534700824667.

7664280074352 is a `hidden beast` number, since 7 + 6 + 6 + 4 + 280 + 0 + 7 + 4 + 352 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3340483 + ... + 5146589.

It is an arithmetic number, because the mean of its divisors is an integer number (80624661120).

Almost surely, 2^{7664280074352} is an apocalyptic number.

7664280074352 is a gapful number since it is divisible by the number (72) 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 7664280074352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899945779200).

7664280074352 is an abundant number, since it is smaller than the sum of its proper divisors (18135611484048).

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

7664280074352 is a wasteful number, since it uses less digits than its factorization.

7664280074352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806201 (or 1806189 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 7664280074352 in words is "seven trillion, six hundred sixty-four billion, two hundred eighty million, seventy-four thousand, three hundred fifty-two".