67404078720 has 1152 divisors, whose sum is σ = 278722866240. Its totient is φ = 15427584000.

The previous prime is 67404078701. The next prime is 67404078757. The reversal of 67404078720 is 2787040476.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1644001900 + ... + 1644001940.

Almost surely, 2^67404078720 is an apocalyptic number.

67404078720 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 67404078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139361433120).

67404078720 is an abundant number, since it is smaller than the sum of its proper divisors (211318787520).

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

67404078720 is a wasteful number, since it uses less digits than its factorization.

67404078720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 67404078720 in words is "sixty-seven billion, four hundred four million, seventy-eight thousand, seven hundred twenty".