6610616400 has 60 divisors (see below), whose sum is σ = 21176011712. Its totient is φ = 1762830720.

The previous prime is 6610616393. The next prime is 6610616429. The reversal of 6610616400 is 46160166.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2753224 + ... + 2755623.

Almost surely, 2^6610616400 is an apocalyptic number.

6610616400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6610616400 is an abundant number, since it is smaller than the sum of its proper divisors (14565395312).

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

6610616400 is a wasteful number, since it uses less digits than its factorization.

6610616400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508868 (or 5508857 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 6610616400 is about 81305.6972173537. The cubic root of 6610616400 is about 1876.7826743458.

Adding to 6610616400 its reverse (46160166), we get a palindrome (6656776566).

The spelling of 6610616400 in words is "six billion, six hundred ten million, six hundred sixteen thousand, four hundred".