6815520900 has 288 divisors, whose sum is σ = 22455507200. Its totient is φ = 1772928000.

The previous prime is 6815520893. The next prime is 6815520919. The reversal of 6815520900 is 90255186.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 29761986 + ... + 29762214.

Almost surely, 2^6815520900 is an apocalyptic number.

6815520900 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 6815520900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11227753600).

6815520900 is an abundant number, since it is smaller than the sum of its proper divisors (15639986300).

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

6815520900 is a wasteful number, since it uses less digits than its factorization.

6815520900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 6815520900 is about 82556.1681523555. The cubic root of 6815520900 is about 1895.9767963031.

The spelling of 6815520900 in words is "six billion, eight hundred fifteen million, five hundred twenty thousand, nine hundred".