67468515840 has 600 divisors, whose sum is σ = 265715063460. Its totient is φ = 16349921280.

The previous prime is 67468515809. The next prime is 67468515841. The reversal of 67468515840 is 4851586476.

67468515840 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 8 + 51 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58734491904 + 8734023936 = 242352^2 + 93456^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67468515841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25089216 + ... + 25091904.

Almost surely, 2^67468515840 is an apocalyptic number.

67468515840 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 67468515840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132857531730).

67468515840 is an abundant number, since it is smaller than the sum of its proper divisors (198246547620).

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

67468515840 is a wasteful number, since it uses less digits than its factorization.

67468515840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2746 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 67468515840 in words is "sixty-seven billion, four hundred sixty-eight million, five hundred fifteen thousand, eight hundred forty".