640763446571136 has 576 divisors, whose sum is σ = 2149228528574400. Its totient is φ = 182706433781760.

The previous prime is 640763446571111. The next prime is 640763446571243. The reversal of 640763446571136 is 631175644367046.

640763446571136 is a `hidden beast` number, since 6 + 4 + 0 + 7 + 6 + 3 + 4 + 46 + 571 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61264307475 + ... + 61264317933.

It is an arithmetic number, because the mean of its divisors is an integer number (3731299528775).

Almost surely, 2^{640763446571136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640763446571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074614264287200).

640763446571136 is an abundant number, since it is smaller than the sum of its proper divisors (1508465082003264).

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

640763446571136 is a wasteful number, since it uses less digits than its factorization.

640763446571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12577 (or 12555 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 640763446571136 in words is "six hundred forty trillion, seven hundred sixty-three billion, four hundred forty-six million, five hundred seventy-one thousand, one hundred thirty-six".