6400276484832 has 240 divisors, whose sum is σ = 19338346566000. Its totient is φ = 2075058819072.

The previous prime is 6400276484831. The next prime is 6400276484879. The reversal of 6400276484832 is 2384846720046.

6400276484832 is a `hidden beast` number, since 6 + 400 + 27 + 64 + 84 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400276484831) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 332489544 + ... + 332508792.

It is an arithmetic number, because the mean of its divisors is an integer number (80576444025).

Almost surely, 2^{6400276484832} 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 6400276484832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669173283000).

6400276484832 is an abundant number, since it is smaller than the sum of its proper divisors (12938070081168).

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

6400276484832 is a wasteful number, since it uses less digits than its factorization.

6400276484832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22775 (or 22758 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 6400276484832 in words is "six trillion, four hundred billion, two hundred seventy-six million, four hundred eighty-four thousand, eight hundred thirty-two".