6106484736 has 351 divisors, whose sum is σ = 19926270273. Its totient is φ = 1800437760.

The previous prime is 6106484693. The next prime is 6106484767. The reversal of 6106484736 is 6374846016.

It is a happy number.

The square root of 6106484736 is 78144.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5464166400 + 642318336 = 73920^2 + 25344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6106484691 and 6106484700.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 165040110 + ... + 165040146.

Almost surely, 2^6106484736 is an apocalyptic number.

6106484736 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6106484736 is the 78144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6106484736

6106484736 is an abundant number, since it is smaller than the sum of its proper divisors (13819785537).

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

6106484736 is a wasteful number, since it uses less digits than its factorization.

6106484736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 6106484736 is about 1827.8073748384.

The spelling of 6106484736 in words is "six billion, one hundred six million, four hundred eighty-four thousand, seven hundred thirty-six".