6455919456 has 192 divisors, whose sum is σ = 22785960960. Its totient is φ = 1736017920.

The previous prime is 6455919443. The next prime is 6455919461. The reversal of 6455919456 is 6549195546.

6455919456 is a `hidden beast` number, since 6 + 4 + 5 + 591 + 9 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 71421 + ... + 134211.

It is an arithmetic number, because the mean of its divisors is an integer number (118676880).

Almost surely, 2^6455919456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6455919456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392980480).

6455919456 is an abundant number, since it is smaller than the sum of its proper divisors (16330041504).

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

6455919456 is a wasteful number, since it uses less digits than its factorization.

6455919456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62834 (or 62820 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The square root of 6455919456 is about 80348.7364928659. The cubic root of 6455919456 is about 1862.0272589416.

The spelling of 6455919456 in words is "six billion, four hundred fifty-five million, nine hundred nineteen thousand, four hundred fifty-six".