6402151568540 has 864 divisors, whose sum is σ = 18298167681024. Its totient is φ = 1871427317760.

The previous prime is 6402151568531. The next prime is 6402151568569. The reversal of 6402151568540 is 458651512046.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10376258312 + ... + 10376258928.

It is an arithmetic number, because the mean of its divisors is an integer number (21178434816).

Almost surely, 2^{6402151568540} 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 6402151568540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149083840512).

6402151568540 is an abundant number, since it is smaller than the sum of its proper divisors (11896016112484).

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

6402151568540 is a wasteful number, since it uses less digits than its factorization.

6402151568540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 47.

The spelling of 6402151568540 in words is "six trillion, four hundred two billion, one hundred fifty-one million, five hundred sixty-eight thousand, five hundred forty".