6161626400 has 144 divisors (see below), whose sum is σ = 15769240704. Its totient is φ = 2346516480.

The previous prime is 6161626381. The next prime is 6161626417. The reversal of 6161626400 is 46261616.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4728149 + ... + 4729451.

It is an arithmetic number, because the mean of its divisors is an integer number (109508616).

Almost surely, 2^6161626400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6161626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884620352).

6161626400 is an abundant number, since it is smaller than the sum of its proper divisors (9607614304).

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

6161626400 is a wasteful number, since it uses less digits than its factorization.

6161626400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 6161626400 is about 78496.0279249848. The cubic root of 6161626400 is about 1833.2926080944.

The spelling of 6161626400 in words is "six billion, one hundred sixty-one million, six hundred twenty-six thousand, four hundred".