67245280800 has 288 divisors, whose sum is σ = 226029533184. Its totient is φ = 17353728000.

The previous prime is 67245280789. The next prime is 67245280807. The reversal of 67245280800 is 808254276.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67245280807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12494110 + ... + 12499490.

It is an arithmetic number, because the mean of its divisors is an integer number (784824768).

Almost surely, 2^67245280800 is an apocalyptic number.

67245280800 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 67245280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113014766592).

67245280800 is an abundant number, since it is smaller than the sum of its proper divisors (158784252384).

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

67245280800 is a wasteful number, since it uses less digits than its factorization.

67245280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5572 (or 5559 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 67245280800 in words is "sixty-seven billion, two hundred forty-five million, two hundred eighty thousand, eight hundred".