74261880000 has 2240 divisors, whose sum is σ = 365642956800. Its totient is φ = 14307840000.

The previous prime is 74261879999. The next prime is 74261880001. The reversal of 74261880000 is 8816247.

It is an interprime number because it is at equal distance from previous prime (74261879999) and next prime (74261880001).

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×74261880000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74261880001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1580039977 + ... + 1580040023.

Almost surely, 2^74261880000 is an apocalyptic number.

74261880000 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 74261880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182821478400).

74261880000 is an abundant number, since it is smaller than the sum of its proper divisors (291381076800).

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

74261880000 is a wasteful number, since it uses less digits than its factorization.

74261880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 74261880000 in words is "seventy-four billion, two hundred sixty-one million, eight hundred eighty thousand".