640470204541440 has 5120 divisors, whose sum is σ = 3016094957568000. Its totient is φ = 126636489179136.

The previous prime is 640470204541411. The next prime is 640470204541499. The reversal of 640470204541440 is 44145402074046.

640470204541440 is a `hidden beast` number, since 6 + 4 + 0 + 47 + 0 + 20 + 4 + 541 + 4 + 40 = 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 511 ways as a sum of consecutive naturals, for example, 1055140369617 + ... + 1055140370223.

It is an arithmetic number, because the mean of its divisors is an integer number (589081046400).

Almost surely, 2^{640470204541440} is an apocalyptic number.

640470204541440 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 640470204541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508047478784000).

640470204541440 is an abundant number, since it is smaller than the sum of its proper divisors (2375624753026560).

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

640470204541440 is a wasteful number, since it uses less digits than its factorization.

640470204541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 640470204541440 in words is "six hundred forty trillion, four hundred seventy billion, two hundred four million, five hundred forty-one thousand, four hundred forty".