6402034624560 has 160 divisors (see below), whose sum is σ = 20558460960000. Its totient is φ = 1646108126208.

The previous prime is 6402034624537. The next prime is 6402034624567. The reversal of 6402034624560 is 654264302046.

It is not an unprimeable number, because it can be changed into a prime (6402034624567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4521091 + ... + 5765789.

It is an arithmetic number, because the mean of its divisors is an integer number (128490381000).

Almost surely, 2^{6402034624560} is an apocalyptic number.

6402034624560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6402034624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10279230480000).

6402034624560 is an abundant number, since it is smaller than the sum of its proper divisors (14156426335440).

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

6402034624560 is a wasteful number, since it uses less digits than its factorization.

6402034624560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245483 (or 1245477 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 6402034624560 in words is "six trillion, four hundred two billion, thirty-four million, six hundred twenty-four thousand, five hundred sixty".