6407469360 has 400 divisors, whose sum is σ = 23230513152. Its totient is φ = 1635033600.

The previous prime is 6407469359. The next prime is 6407469361. The reversal of 6407469360 is 639647046.

It is an interprime number because it is at equal distance from previous prime (6407469359) and next prime (6407469361).

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

It is not an unprimeable number, because it can be changed into a prime (6407469361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33546865 + ... + 33547055.

Almost surely, 2^6407469360 is an apocalyptic number.

6407469360 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 6407469360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11615256576).

6407469360 is an abundant number, since it is smaller than the sum of its proper divisors (16823043792).

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

6407469360 is a wasteful number, since it uses less digits than its factorization.

6407469360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 6407469360 is about 80046.6698870103. The cubic root of 6407469360 is about 1857.3575380115.

The spelling of 6407469360 in words is "six billion, four hundred seven million, four hundred sixty-nine thousand, three hundred sixty".