68252172480 has 672 divisors, whose sum is σ = 255865579200. Its totient is φ = 17123622912.

The previous prime is 68252172479. The next prime is 68252172517. The reversal of 68252172480 is 8427125286.

68252172480 is a `hidden beast` number, since 6 + 82 + 5 + 21 + 72 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498190972 + ... + 498191108.

It is an arithmetic number, because the mean of its divisors is an integer number (380752350).

Almost surely, 2^68252172480 is an apocalyptic number.

68252172480 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 68252172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127932789600).

68252172480 is an abundant number, since it is smaller than the sum of its proper divisors (187613406720).

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

68252172480 is a wasteful number, since it uses less digits than its factorization.

68252172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 68252172480 in words is "sixty-eight billion, two hundred fifty-two million, one hundred seventy-two thousand, four hundred eighty".