6211145664 has 112 divisors (see below), whose sum is σ = 18684483840. Its totient is φ = 2022209280.

The previous prime is 6211145597. The next prime is 6211145669. The reversal of 6211145664 is 4665411126.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6211145669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32509 + ... + 116099.

Almost surely, 2^6211145664 is an apocalyptic number.

6211145664 is a gapful number since it is divisible by the number (64) 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 6211145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342241920).

6211145664 is an abundant number, since it is smaller than the sum of its proper divisors (12473338176).

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

6211145664 is a wasteful number, since it uses less digits than its factorization.

6211145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83655 (or 83639 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6211145664 is about 78810.8219979972. The cubic root of 6211145664 is about 1838.1907294052.

The spelling of 6211145664 in words is "six billion, two hundred eleven million, one hundred forty-five thousand, six hundred sixty-four".