68567523840 has 640 divisors, whose sum is σ = 253993386240. Its totient is φ = 17736744960.

The previous prime is 68567523823. The next prime is 68567523853. The reversal of 68567523840 is 4832576586.

68567523840 is a `hidden beast` number, since 6 + 8 + 567 + 5 + 2 + 38 + 40 = 666.

68567523840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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 63 ways as a sum of consecutive naturals, for example, 207152475 + ... + 207152805.

It is an arithmetic number, because the mean of its divisors is an integer number (396864666).

Almost surely, 2^68567523840 is an apocalyptic number.

68567523840 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 68567523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126996693120).

68567523840 is an abundant number, since it is smaller than the sum of its proper divisors (185425862400).

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

68567523840 is an frugal number, since it uses more digits than its factorization.

68567523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 68567523840 in words is "sixty-eight billion, five hundred sixty-seven million, five hundred twenty-three thousand, eight hundred forty".