74067763906080 has 768 divisors, whose sum is σ = 301950346199040. Its totient is φ = 16605433368576.

The previous prime is 74067763906067. The next prime is 74067763906091. The reversal of 74067763906080 is 8060936776047.

74067763906080 is a `hidden beast` number, since 7 + 40 + 6 + 7 + 76 + 390 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 74067763905999 and 74067763906017.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9845505199 + ... + 9845512721.

It is an arithmetic number, because the mean of its divisors is an integer number (393164513280).

Almost surely, 2^{74067763906080} is an apocalyptic number.

74067763906080 is a gapful number since it is divisible by the number (70) 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 74067763906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150975173099520).

74067763906080 is an abundant number, since it is smaller than the sum of its proper divisors (227882582292960).

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

74067763906080 is a wasteful number, since it uses less digits than its factorization.

74067763906080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13750 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 74067763906080 in words is "seventy-four trillion, sixty-seven billion, seven hundred sixty-three million, nine hundred six thousand, eighty".