6355145160 has 768 divisors, whose sum is σ = 26889408000. Its totient is φ = 1292433408.

The previous prime is 6355145149. The next prime is 6355145189. The reversal of 6355145160 is 615415536.

6355145160 is a `hidden beast` number, since 6 + 3 + 551 + 45 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 59393827 + ... + 59393933.

It is an arithmetic number, because the mean of its divisors is an integer number (35012250).

Almost surely, 2^6355145160 is an apocalyptic number.

6355145160 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 6355145160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13444704000).

6355145160 is an abundant number, since it is smaller than the sum of its proper divisors (20534262840).

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

6355145160 is a wasteful number, since it uses less digits than its factorization.

6355145160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 6355145160 is about 79719.1643207579. The cubic root of 6355145160 is about 1852.2879081002.

The spelling of 6355145160 in words is "six billion, three hundred fifty-five million, one hundred forty-five thousand, one hundred sixty".