74135827920 has 1280 divisors, whose sum is σ = 319979520000. Its totient is φ = 14021683200.

The previous prime is 74135827907. The next prime is 74135827933. The reversal of 74135827920 is 2972853147.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74135827907) and next prime (74135827933).

It is a super-2 number, since 2×74135827920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74135827920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 533351211 + ... + 533351349.

It is an arithmetic number, because the mean of its divisors is an integer number (249984000).

Almost surely, 2^74135827920 is an apocalyptic number.

74135827920 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 74135827920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760000).

74135827920 is an abundant number, since it is smaller than the sum of its proper divisors (245843692080).

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

74135827920 is a wasteful number, since it uses less digits than its factorization.

74135827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 74135827920 in words is "seventy-four billion, one hundred thirty-five million, eight hundred twenty-seven thousand, nine hundred twenty".