6454895040 has 252 divisors, whose sum is σ = 24405332952. Its totient is φ = 1564738560.

The previous prime is 6454895021. The next prime is 6454895063. The reversal of 6454895040 is 405984546.

6454895040 is a `hidden beast` number, since 64 + 5 + 4 + 89 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 339219 + ... + 357741.

Almost surely, 2^6454895040 is an apocalyptic number.

6454895040 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 6454895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202666476).

6454895040 is an abundant number, since it is smaller than the sum of its proper divisors (17950437912).

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

6454895040 is a wasteful number, since it uses less digits than its factorization.

6454895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18568 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6454895040 is about 80342.3614290743. The cubic root of 6454895040 is about 1861.9287657973.

The spelling of 6454895040 in words is "six billion, four hundred fifty-four million, eight hundred ninety-five thousand, forty".