74401689600 has 936 divisors, whose sum is σ = 321118653440. Its totient is φ = 16084500480.

The previous prime is 74401689559. The next prime is 74401689613. The reversal of 74401689600 is 698610447.

It is a super-2 number, since 2×74401689600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122572497 + ... + 122573103.

Almost surely, 2^74401689600 is an apocalyptic number.

74401689600 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 74401689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160559326720).

74401689600 is an abundant number, since it is smaller than the sum of its proper divisors (246716963840).

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

74401689600 is a wasteful number, since it uses less digits than its factorization.

74401689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74401689600 in words is "seventy-four billion, four hundred one million, six hundred eighty-nine thousand, six hundred".