640536028070400 has 8640 divisors, whose sum is σ = 3222035084556288. Its totient is φ = 123204685824000.

The previous prime is 640536028070357. The next prime is 640536028070443. The reversal of 640536028070400 is 4070820635046.

640536028070400 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 360 + 280 + 7 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (640536028070357) and next prime (640536028070443).

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 20662452518385 + ... + 20662452518415.

Almost surely, 2^{640536028070400} is an apocalyptic number.

640536028070400 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 640536028070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611017542278144).

640536028070400 is an abundant number, since it is smaller than the sum of its proper divisors (2581499056485888).

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

640536028070400 is an equidigital number, since it uses as much as digits as its factorization.

640536028070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 640536028070400 in words is "six hundred forty trillion, five hundred thirty-six billion, twenty-eight million, seventy thousand, four hundred".