63116202240 has 1728 divisors, whose sum is σ = 291251358720. Its totient is φ = 12819824640.

The previous prime is 63116202229. The next prime is 63116202257. The reversal of 63116202240 is 4220261136.

63116202240 is a `hidden beast` number, since 6 + 3 + 11 + 620 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1034691810 + ... + 1034691870.

It is an arithmetic number, because the mean of its divisors is an integer number (168548240).

Almost surely, 2^63116202240 is an apocalyptic number.

63116202240 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 63116202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145625679360).

63116202240 is an abundant number, since it is smaller than the sum of its proper divisors (228135156480).

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

63116202240 is a wasteful number, since it uses less digits than its factorization.

63116202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 63116202240 its reverse (4220261136), we get a palindrome (67336463376).

It can be divided in two parts, 63116 and 202240, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 63116202240 in words is "sixty-three billion, one hundred sixteen million, two hundred two thousand, two hundred forty".