63165250680840 has 2560 divisors, whose sum is σ = 284659428556800. Its totient is φ = 12180575232000.

The previous prime is 63165250680827. The next prime is 63165250680937. The reversal of 63165250680840 is 4808605256136.

63165250680840 is a `hidden beast` number, since 6 + 3 + 1 + 6 + 52 + 506 + 8 + 0 + 84 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 20316901206 + ... + 20316904314.

It is an arithmetic number, because the mean of its divisors is an integer number (111195089280).

Almost surely, 2^{63165250680840} is an apocalyptic number.

63165250680840 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 63165250680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142329714278400).

63165250680840 is an abundant number, since it is smaller than the sum of its proper divisors (221494177875960).

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

63165250680840 is a wasteful number, since it uses less digits than its factorization.

63165250680840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 63165250680840 in words is "sixty-three trillion, one hundred sixty-five billion, two hundred fifty million, six hundred eighty thousand, eight hundred forty".