67807474272 has 336 divisors, whose sum is σ = 209122028640. Its totient is φ = 21605584896.

The previous prime is 67807474223. The next prime is 67807474277. The reversal of 67807474272 is 27247470876.

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 (67807474277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76445413 + ... + 76446299.

It is an arithmetic number, because the mean of its divisors is an integer number (622386990).

Almost surely, 2^67807474272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67807474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104561014320).

67807474272 is an abundant number, since it is smaller than the sum of its proper divisors (141314554368).

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

67807474272 is a wasteful number, since it uses less digits than its factorization.

67807474272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 67807474272 in words is "sixty-seven billion, eight hundred seven million, four hundred seventy-four thousand, two hundred seventy-two".