63984342240 has 1152 divisors, whose sum is σ = 292355481600. Its totient is φ = 12361973760.

The previous prime is 63984342211. The next prime is 63984342269. The reversal of 63984342240 is 4224348936.

63984342240 is a `hidden beast` number, since 6 + 398 + 4 + 34 + 224 + 0 = 666.

63984342240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (63984342211) and next prime (63984342269).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77182146 + ... + 77182974.

It is an arithmetic number, because the mean of its divisors is an integer number (253780800).

Almost surely, 2^63984342240 is an apocalyptic number.

63984342240 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 63984342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146177740800).

63984342240 is an abundant number, since it is smaller than the sum of its proper divisors (228371139360).

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

63984342240 is a wasteful number, since it uses less digits than its factorization.

63984342240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 63984342240 in words is "sixty-three billion, nine hundred eighty-four million, three hundred forty-two thousand, two hundred forty".