68762205642240 has 1920 divisors, whose sum is σ = 284344450790400. Its totient is φ = 15762491965440.

The previous prime is 68762205642233. The next prime is 68762205642253. The reversal of 68762205642240 is 4224650226786.

68762205642240 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 2 + 205 + 6 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

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, 14007372906 + ... + 14007377814.

It is an arithmetic number, because the mean of its divisors is an integer number (148096068120).

Almost surely, 2^{68762205642240} is an apocalyptic number.

68762205642240 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 68762205642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142172225395200).

68762205642240 is an abundant number, since it is smaller than the sum of its proper divisors (215582245148160).

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

68762205642240 is a wasteful number, since it uses less digits than its factorization.

68762205642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5070 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 68762205642240 in words is "sixty-eight trillion, seven hundred sixty-two billion, two hundred five million, six hundred forty-two thousand, two hundred forty".