6504157440 has 432 divisors, whose sum is σ = 25472131776. Its totient is φ = 1575936000.

The previous prime is 6504157417. The next prime is 6504157447. The reversal of 6504157440 is 447514056.

6504157440 is a `hidden beast` number, since 6 + 5 + 0 + 41 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 6504157395 and 6504157404.

It is not an unprimeable number, because it can be changed into a prime (6504157447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3420490 + ... + 3422390.

It is an arithmetic number, because the mean of its divisors is an integer number (58963268).

Almost surely, 2^6504157440 is an apocalyptic number.

6504157440 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 6504157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736065888).

6504157440 is an abundant number, since it is smaller than the sum of its proper divisors (18967974336).

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

6504157440 is a wasteful number, since it uses less digits than its factorization.

6504157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 6504157440 is about 80648.3567098549. The cubic root of 6504157440 is about 1866.6533831254.

The spelling of 6504157440 in words is "six billion, five hundred four million, one hundred fifty-seven thousand, four hundred forty".