6642097920 has 216 divisors, whose sum is σ = 23603588736. Its totient is φ = 1723244544.

The previous prime is 6642097877. The next prime is 6642097927. The reversal of 6642097920 is 297902466.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642097927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418449 + ... + 434031.

Almost surely, 2^6642097920 is an apocalyptic number.

6642097920 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 6642097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11801794368).

6642097920 is an abundant number, since it is smaller than the sum of its proper divisors (16961490816).

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

6642097920 is a wasteful number, since it uses less digits than its factorization.

6642097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15647 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6642097920 is about 81499.0669885245. The cubic root of 6642097920 is about 1879.7572041966.

The spelling of 6642097920 in words is "six billion, six hundred forty-two million, ninety-seven thousand, nine hundred twenty".