67613172480 has 1728 divisors, whose sum is σ = 307088990208. Its totient is φ = 13377208320.

The previous prime is 67613172461. The next prime is 67613172499. The reversal of 67613172480 is 8427131676.

67613172480 is a `hidden beast` number, since 6 + 7 + 613 + 1 + 7 + 24 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67613172461) and next prime (67613172499).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1572399339 + ... + 1572399381.

It is an arithmetic number, because the mean of its divisors is an integer number (177713536).

Almost surely, 2^67613172480 is an apocalyptic number.

67613172480 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 67613172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153544495104).

67613172480 is an abundant number, since it is smaller than the sum of its proper divisors (239475817728).

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

67613172480 is a wasteful number, since it uses less digits than its factorization.

67613172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 67613172480 in words is "sixty-seven billion, six hundred thirteen million, one hundred seventy-two thousand, four hundred eighty".