640075632144480 has 1152 divisors, whose sum is σ = 2622822927169536. Its totient is φ = 144386758656000.

The previous prime is 640075632144479. The next prime is 640075632144497. The reversal of 640075632144480 is 84441236570046.

640075632144480 is a `hidden beast` number, since 6 + 40 + 0 + 7 + 5 + 63 + 21 + 44 + 480 = 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 191 ways as a sum of consecutive naturals, for example, 8548780324 + ... + 8548855196.

It is an arithmetic number, because the mean of its divisors is an integer number (2276756013168).

Almost surely, 2^{640075632144480} is an apocalyptic number.

640075632144480 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 640075632144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311411463584768).

640075632144480 is an abundant number, since it is smaller than the sum of its proper divisors (1982747295025056).

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

640075632144480 is a wasteful number, since it uses less digits than its factorization.

640075632144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75322 (or 75302 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 640075632144480 in words is "six hundred forty trillion, seventy-five billion, six hundred thirty-two million, one hundred forty-four thousand, four hundred eighty".