74088211680 has 1152 divisors, whose sum is σ = 318018960000. Its totient is φ = 16240766976.

The previous prime is 74088211661. The next prime is 74088211699. The reversal of 74088211680 is 8611288047.

74088211680 is a `hidden beast` number, since 7 + 408 + 82 + 1 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74088211661) and next prime (74088211699).

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 191 ways as a sum of consecutive naturals, for example, 497236246 + ... + 497236394.

It is an arithmetic number, because the mean of its divisors is an integer number (276058125).

Almost surely, 2^74088211680 is an apocalyptic number.

74088211680 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 74088211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159009480000).

74088211680 is an abundant number, since it is smaller than the sum of its proper divisors (243930748320).

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

74088211680 is a wasteful number, since it uses less digits than its factorization.

74088211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 74088211680 in words is "seventy-four billion, eighty-eight million, two hundred eleven thousand, six hundred eighty".