6440078145600 has 1512 divisors, whose sum is σ = 26552979586848. Its totient is φ = 1523747635200.

The previous prime is 6440078145547. The next prime is 6440078145617. The reversal of 6440078145600 is 65418700446.

6440078145600 is a `hidden beast` number, since 6 + 4 + 4 + 0 + 0 + 7 + 81 + 4 + 560 + 0 = 666.

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 215 ways as a sum of consecutive naturals, for example, 4965364152 + ... + 4965365448.

Almost surely, 2^{6440078145600} is an apocalyptic number.

6440078145600 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 6440078145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13276489793424).

6440078145600 is an abundant number, since it is smaller than the sum of its proper divisors (20112901441248).

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

6440078145600 is a wasteful number, since it uses less digits than its factorization.

6440078145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6440078145600 in words is "six trillion, four hundred forty billion, seventy-eight million, one hundred forty-five thousand, six hundred".