6470956800 has 648 divisors, whose sum is σ = 28863569280. Its totient is φ = 1343692800.

The previous prime is 6470956777. The next prime is 6470956801. The reversal of 6470956800 is 86590746.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6470956801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4434471 + ... + 4435929.

Almost surely, 2^6470956800 is an apocalyptic number.

6470956800 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 6470956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431784640).

6470956800 is an abundant number, since it is smaller than the sum of its proper divisors (22392612480).

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

6470956800 is a wasteful number, since it uses less digits than its factorization.

6470956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6470956800 is about 80442.2575516128. The cubic root of 6470956800 is about 1863.4718367041.

The spelling of 6470956800 in words is "six billion, four hundred seventy million, nine hundred fifty-six thousand, eight hundred".