6225515604000 has 4608 divisors, whose sum is σ = 31479288422400. Its totient is φ = 1157068800000.

The previous prime is 6225515603947. The next prime is 6225515604053. The reversal of 6225515604000 is 4065155226.

6225515604000 is a `hidden beast` number, since 6 + 2 + 2 + 5 + 51 + 560 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6225515603947) and next prime (6225515604053).

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

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 151841843980 + ... + 151841844020.

It is an arithmetic number, because the mean of its divisors is an integer number (6831442800).

Almost surely, 2^{6225515604000} is an apocalyptic number.

6225515604000 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 6225515604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15739644211200).

6225515604000 is an abundant number, since it is smaller than the sum of its proper divisors (25253772818400).

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

6225515604000 is a wasteful number, since it uses less digits than its factorization.

6225515604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 6225515604000 in words is "six trillion, two hundred twenty-five billion, five hundred fifteen million, six hundred four thousand".