6587006400 has 672 divisors, whose sum is σ = 26641836480. Its totient is φ = 1572618240.

The previous prime is 6587006399. The next prime is 6587006407. The reversal of 6587006400 is 46007856.

It is a happy number.

6587006400 is a `hidden beast` number, since 6 + 5 + 8 + 7 + 0 + 0 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6587006407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20779042 + ... + 20779358.

It is an arithmetic number, because the mean of its divisors is an integer number (39645590).

Almost surely, 2^6587006400 is an apocalyptic number.

6587006400 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 6587006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13320918240).

6587006400 is an abundant number, since it is smaller than the sum of its proper divisors (20054830080).

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

6587006400 is a wasteful number, since it uses less digits than its factorization.

6587006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6587006400 is about 81160.3745678887. The cubic root of 6587006400 is about 1874.5456819263.

The spelling of 6587006400 in words is "six billion, five hundred eighty-seven million, six thousand, four hundred".