6440878080000 has 1840 divisors, whose sum is σ = 29350729260160. Its totient is φ = 1358954496000.

The previous prime is 6440878079971. The next prime is 6440878080107. The reversal of 6440878080000 is 808780446.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 495452159994 + ... + 495452160006.

Almost surely, 2^{6440878080000} is an apocalyptic number.

6440878080000 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 6440878080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14675364630080).

6440878080000 is an abundant number, since it is smaller than the sum of its proper divisors (22909851180160).

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

6440878080000 is an frugal number, since it uses more digits than its factorization.

6440878080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 6440878080000 in words is "six trillion, four hundred forty billion, eight hundred seventy-eight million, eighty thousand".