6410640276 has 72 divisors (see below), whose sum is σ = 16669565640. Its totient is φ = 2075763456.

The previous prime is 6410640263. The next prime is 6410640277. The reversal of 6410640276 is 6720460146.

6410640276 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 640 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3144517776 + 3266122500 = 56076^2 + 57150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6410640276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6410640277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 898210 + ... + 905318.

It is an arithmetic number, because the mean of its divisors is an integer number (231521745).

Almost surely, 2^6410640276 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 6410640276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334782820).

6410640276 is an abundant number, since it is smaller than the sum of its proper divisors (10258925364).

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

6410640276 is a wasteful number, since it uses less digits than its factorization.

6410640276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6410640276 is about 80066.4741074565. The cubic root of 6410640276 is about 1857.6638759815.

The spelling of 6410640276 in words is "six billion, four hundred ten million, six hundred forty thousand, two hundred seventy-six".