63917940240 has 1920 divisors, whose sum is σ = 303980544000. Its totient is φ = 12294374400.

The previous prime is 63917940227. The next prime is 63917940241. The reversal of 63917940240 is 4204971936.

It is a happy number.

63917940240 is a `hidden beast` number, since 6 + 39 + 179 + 402 + 40 = 666.

63917940240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×63917940240² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (63917940241) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2061869025 + ... + 2061869055.

It is an arithmetic number, because the mean of its divisors is an integer number (158323200).

Almost surely, 2^63917940240 is an apocalyptic number.

63917940240 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 63917940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151990272000).

63917940240 is an abundant number, since it is smaller than the sum of its proper divisors (240062603760).

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

63917940240 is a wasteful number, since it uses less digits than its factorization.

63917940240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 63917940240 in words is "sixty-three billion, nine hundred seventeen million, nine hundred forty thousand, two hundred forty".