6455934000 has 480 divisors, whose sum is σ = 24342489600. Its totient is φ = 1589414400.

The previous prime is 6455933999. The next prime is 6455934029. The reversal of 6455934000 is 4395546.

It is a happy number.

6455934000 is a `hidden beast` number, since 64 + 5 + 593 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14705781 + ... + 14706219.

It is an arithmetic number, because the mean of its divisors is an integer number (50713520).

Almost surely, 2^6455934000 is an apocalyptic number.

6455934000 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 6455934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171244800).

6455934000 is an abundant number, since it is smaller than the sum of its proper divisors (17886555600).

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

6455934000 is a wasteful number, since it uses less digits than its factorization.

6455934000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 6455934000 is about 80348.8269982829. The cubic root of 6455934000 is about 1862.0286572089.

The spelling of 6455934000 in words is "six billion, four hundred fifty-five million, nine hundred thirty-four thousand".