67225603680 has 144 divisors (see below), whose sum is σ = 229757686704. Its totient is φ = 17899453440.

The previous prime is 67225603663. The next prime is 67225603703. The reversal of 67225603680 is 8630652276.

It is a happy number.

67225603680 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 560 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 916527 + ... + 987153.

It is an arithmetic number, because the mean of its divisors is an integer number (1595539491).

Almost surely, 2^67225603680 is an apocalyptic number.

67225603680 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 67225603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114878843352).

67225603680 is an abundant number, since it is smaller than the sum of its proper divisors (162532083024).

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

67225603680 is a wasteful number, since it uses less digits than its factorization.

67225603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71309 (or 71298 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 67225603680 in words is "sixty-seven billion, two hundred twenty-five million, six hundred three thousand, six hundred eighty".