68452413120 has 560 divisors, whose sum is σ = 299699281728. Its totient is φ = 14442209280.

The previous prime is 68452413109. The next prime is 68452413121. The reversal of 68452413120 is 2131425486.

It is a happy number.

68452413120 is a `hidden beast` number, since 6 + 8 + 4 + 524 + 1 + 3 + 120 = 666.

68452413120 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 (560).

It is a super-2 number, since 2×68452413120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (68452413121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2344210 + ... + 2373230.

Almost surely, 2^68452413120 is an apocalyptic number.

68452413120 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 68452413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149849640864).

68452413120 is an abundant number, since it is smaller than the sum of its proper divisors (231246868608).

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

68452413120 is a wasteful number, since it uses less digits than its factorization.

68452413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29070 (or 29051 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 68452413120 in words is "sixty-eight billion, four hundred fifty-two million, four hundred thirteen thousand, one hundred twenty".