8004274037760 has 2816 divisors, whose sum is σ = 36853149892608. Its totient is φ = 1426902220800.

The previous prime is 8004274037759. The next prime is 8004274037779. The reversal of 8004274037760 is 677304724008.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29536066425 + ... + 29536066695.

Almost surely, 2^{8004274037760} is an apocalyptic number.

8004274037760 is a gapful number since it is divisible by the number (80) 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 8004274037760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426574946304).

8004274037760 is an abundant number, since it is smaller than the sum of its proper divisors (28848875854848).

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

8004274037760 is a wasteful number, since it uses less digits than its factorization.

8004274037760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The spelling of 8004274037760 in words is "eight trillion, four billion, two hundred seventy-four million, thirty-seven thousand, seven hundred sixty".