6504397920 has 144 divisors (see below), whose sum is σ = 22464095472. Its totient is φ = 1713576960.

The previous prime is 6504397883. The next prime is 6504397961. The reversal of 6504397920 is 297934056.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92310 + ... + 146730.

It is an arithmetic number, because the mean of its divisors is an integer number (156000663).

Almost surely, 2^6504397920 is an apocalyptic number.

6504397920 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 6504397920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232047736).

6504397920 is an abundant number, since it is smaller than the sum of its proper divisors (15959697552).

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

6504397920 is a wasteful number, since it uses less digits than its factorization.

6504397920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54525 (or 54514 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 6504397920 is about 80649.8476129992. The cubic root of 6504397920 is about 1866.6763882714.

The spelling of 6504397920 in words is "six billion, five hundred four million, three hundred ninety-seven thousand, nine hundred twenty".