6164140500 has 480 divisors, whose sum is σ = 24354570240. Its totient is φ = 1325030400.

The previous prime is 6164140459. The next prime is 6164140523. The reversal of 6164140500 is 50414616.

6164140500 is a `hidden beast` number, since 6 + 16 + 4 + 140 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4818861 + ... + 4820139.

It is an arithmetic number, because the mean of its divisors is an integer number (50738688).

Almost surely, 2^6164140500 is an apocalyptic number.

6164140500 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 6164140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12177285120).

6164140500 is an abundant number, since it is smaller than the sum of its proper divisors (18190429740).

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

6164140500 is a wasteful number, since it uses less digits than its factorization.

6164140500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6164140500 is about 78512.0404778783. The cubic root of 6164140500 is about 1833.5419174983.

The spelling of 6164140500 in words is "six billion, one hundred sixty-four million, one hundred forty thousand, five hundred".