7999274465280 has 1152 divisors, whose sum is σ = 33190756784640. Its totient is φ = 1809904435200.

The previous prime is 7999274465257. The next prime is 7999274465297. The reversal of 7999274465280 is 825644729997.

7999274465280 is a `hidden beast` number, since 7 + 9 + 9 + 92 + 7 + 4 + 4 + 6 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7999274465199 and 7999274465208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1759239967 + ... + 1759244513.

It is an arithmetic number, because the mean of its divisors is an integer number (28811420820).

Almost surely, 2^{7999274465280} is an apocalyptic number.

7999274465280 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 7999274465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595378392320).

7999274465280 is an abundant number, since it is smaller than the sum of its proper divisors (25191482319360).

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

7999274465280 is a wasteful number, since it uses less digits than its factorization.

7999274465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4697 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 7999274465280 in words is "seven trillion, nine hundred ninety-nine billion, two hundred seventy-four million, four hundred sixty-five thousand, two hundred eighty".