647945910144 has 320 divisors, whose sum is σ = 2127272550480. Its totient is φ = 194503680000.

The previous prime is 647945910109. The next prime is 647945910169. The reversal of 647945910144 is 441019549746.

It is a happy number.

647945910144 is a `hidden beast` number, since 6 + 4 + 7 + 9 + 4 + 591 + 0 + 1 + 44 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5467519 + ... + 5584769.

Almost surely, 2^647945910144 is an apocalyptic number.

647945910144 is a gapful number since it is divisible by the number (64) 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 647945910144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063636275240).

647945910144 is an abundant number, since it is smaller than the sum of its proper divisors (1479326640336).

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

647945910144 is a wasteful number, since it uses less digits than its factorization.

647945910144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117331 (or 117310 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 647945910144 in words is "six hundred forty-seven billion, nine hundred forty-five million, nine hundred ten thousand, one hundred forty-four".