6487210262400 has 1152 divisors, whose sum is σ = 25628571571200. Its totient is φ = 1412565073920.

The previous prime is 6487210262399. The next prime is 6487210262413. The reversal of 6487210262400 is 42620127846.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4464700074 + ... + 4464701526.

Almost surely, 2^{6487210262400} is an apocalyptic number.

6487210262400 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 6487210262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814285785600).

6487210262400 is an abundant number, since it is smaller than the sum of its proper divisors (19141361308800).

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

6487210262400 is a wasteful number, since it uses less digits than its factorization.

6487210262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 6487210262400 in words is "six trillion, four hundred eighty-seven billion, two hundred ten million, two hundred sixty-two thousand, four hundred".