6158792640 has 1344 divisors, whose sum is σ = 28915522560. Its totient is φ = 1073479680.

The previous prime is 6158792603. The next prime is 6158792681. The reversal of 6158792640 is 462978516.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6158792640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 212372146 + ... + 212372174.

Almost surely, 2^6158792640 is an apocalyptic number.

6158792640 is a gapful number since it is divisible by the number (60) 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 6158792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457761280).

6158792640 is an abundant number, since it is smaller than the sum of its proper divisors (22756729920).

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

6158792640 is a wasteful number, since it uses less digits than its factorization.

6158792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 6158792640 is about 78477.9755090560. The cubic root of 6158792640 is about 1833.0115184629.

The spelling of 6158792640 in words is "six billion, one hundred fifty-eight million, seven hundred ninety-two thousand, six hundred forty".