8158290416640 has 1408 divisors, whose sum is σ = 36042721827840. Its totient is φ = 1704001536000.

The previous prime is 8158290416623. The next prime is 8158290416651. The reversal of 8158290416640 is 466140928518.

8158290416640 is a `hidden beast` number, since 8 + 1 + 5 + 82 + 90 + 416 + 64 + 0 = 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1270560630 + ... + 1270567050.

Almost surely, 2^{8158290416640} is an apocalyptic number.

8158290416640 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 8158290416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18021360913920).

8158290416640 is an abundant number, since it is smaller than the sum of its proper divisors (27884431411200).

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

8158290416640 is a wasteful number, since it uses less digits than its factorization.

8158290416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6552 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 8158290416640 in words is "eight trillion, one hundred fifty-eight billion, two hundred ninety million, four hundred sixteen thousand, six hundred forty".