82801358640 has 960 divisors, whose sum is σ = 376637893632. Its totient is φ = 15742771200.

The previous prime is 82801358621. The next prime is 82801358663. The reversal of 82801358640 is 4685310828.

82801358640 is a `hidden beast` number, since 8 + 28 + 0 + 1 + 3 + 586 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94413882 + ... + 94414758.

Almost surely, 2^82801358640 is an apocalyptic number.

82801358640 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 82801358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188318946816).

82801358640 is an abundant number, since it is smaller than the sum of its proper divisors (293836534992).

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

82801358640 is a wasteful number, since it uses less digits than its factorization.

82801358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 82801358640 in words is "eighty-two billion, eight hundred one million, three hundred fifty-eight thousand, six hundred forty".