6146777376 has 72 divisors (see below), whose sum is σ = 17576621244. Its totient is φ = 2037588480.

The previous prime is 6146777339. The next prime is 6146777401. The reversal of 6146777376 is 6737776416.

It can be written as a sum of positive squares in 2 ways, for example, as 5367027600 + 779749776 = 73260^2 + 27924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6146777376² = 75565744220210890752, which contains 22 as substring.

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, 6831 + ... + 111086.

Almost surely, 2^6146777376 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 6146777376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8788310622).

6146777376 is an abundant number, since it is smaller than the sum of its proper divisors (11429843868).

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

6146777376 is a wasteful number, since it uses less digits than its factorization.

6146777376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118114 (or 118103 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 6146777376 is about 78401.3863142738. The cubic root of 6146777376 is about 1831.8187275749.

The spelling of 6146777376 in words is "six billion, one hundred forty-six million, seven hundred seventy-seven thousand, three hundred seventy-six".