68152069440 has 1792 divisors, whose sum is σ = 317479680000. Its totient is φ = 13655900160.

The previous prime is 68152069429. The next prime is 68152069441. The reversal of 68152069440 is 4496025186.

68152069440 is a `hidden beast` number, since 6 + 81 + 520 + 6 + 9 + 4 + 40 = 666.

68152069440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68152069441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1117247010 + ... + 1117247070.

It is an arithmetic number, because the mean of its divisors is an integer number (177165000).

Almost surely, 2^68152069440 is an apocalyptic number.

68152069440 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 68152069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840000).

68152069440 is an abundant number, since it is smaller than the sum of its proper divisors (249327610560).

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

68152069440 is a wasteful number, since it uses less digits than its factorization.

68152069440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 68152069440 in words is "sixty-eight billion, one hundred fifty-two million, sixty-nine thousand, four hundred forty".