6542000640 has 400 divisors, whose sum is σ = 26784660672. Its totient is φ = 1494982656.

The previous prime is 6542000629. The next prime is 6542000659. The reversal of 6542000640 is 460002456.

It is a happy number.

6542000640 is a `hidden beast` number, since 654 + 2 + 0 + 0 + 0 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1449267 + ... + 1453773.

Almost surely, 2^6542000640 is an apocalyptic number.

6542000640 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 6542000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392330336).

6542000640 is an abundant number, since it is smaller than the sum of its proper divisors (20242660032).

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

6542000640 is an equidigital number, since it uses as much as digits as its factorization.

6542000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6542000640 is about 80882.6349719147. The cubic root of 6542000640 is about 1870.2666400838.

The spelling of 6542000640 in words is "six billion, five hundred forty-two million, six hundred forty", and thus it is an aban number.