6453416640 has 224 divisors, whose sum is σ = 22424014080. Its totient is φ = 1559449600.

The previous prime is 6453416621. The next prime is 6453416657. The reversal of 6453416640 is 466143546.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4107055 + ... + 4108625.

Almost surely, 2^6453416640 is an apocalyptic number.

6453416640 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 6453416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11212007040).

6453416640 is an abundant number, since it is smaller than the sum of its proper divisors (15970597440).

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

6453416640 is a wasteful number, since it uses less digits than its factorization.

6453416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 6453416640 is about 80333.1602764388. The cubic root of 6453416640 is about 1861.7866056925.

The spelling of 6453416640 in words is "six billion, four hundred fifty-three million, four hundred sixteen thousand, six hundred forty".