6497042400 has 432 divisors, whose sum is σ = 25023398400. Its totient is φ = 1640424960.

The previous prime is 6497042359. The next prime is 6497042441. The reversal of 6497042400 is 42407946.

6497042400 is a `hidden beast` number, since 649 + 7 + 0 + 4 + 2 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6497042359) and next prime (6497042441).

It is a tau number, because it is divible by the number of its divisors (432).

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 71 ways as a sum of consecutive naturals, for example, 3692721 + ... + 3694479.

Almost surely, 2^6497042400 is an apocalyptic number.

6497042400 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 6497042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511699200).

6497042400 is an abundant number, since it is smaller than the sum of its proper divisors (18526356000).

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

6497042400 is a wasteful number, since it uses less digits than its factorization.

6497042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6497042400 is about 80604.2331394574. The cubic root of 6497042400 is about 1865.9724771325.

The spelling of 6497042400 in words is "six billion, four hundred ninety-seven million, forty-two thousand, four hundred".