6158617920 has 840 divisors, whose sum is σ = 27517871304. Its totient is φ = 1295917056.

The previous prime is 6158617919. The next prime is 6158617961. The reversal of 6158617920 is 297168516.

6158617920 is a `hidden beast` number, since 6 + 1 + 5 + 8 + 617 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134374464 + 6024243456 = 11592^2 + 77616^2 .

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510854 + ... + 16511226.

Almost surely, 2^6158617920 is an apocalyptic number.

6158617920 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 6158617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13758935652).

6158617920 is an abundant number, since it is smaller than the sum of its proper divisors (21359253384).

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

6158617920 is a wasteful number, since it uses less digits than its factorization.

6158617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 6158617920 is about 78476.8623225980. The cubic root of 6158617920 is about 1832.9941846109.

The spelling of 6158617920 in words is "six billion, one hundred fifty-eight million, six hundred seventeen thousand, nine hundred twenty".