74088000000 has 1120 divisors, whose sum is σ = 319683408000. Its totient is φ = 16934400000.

The previous prime is 74087999963. The next prime is 74088000047. The reversal of 74088000000 is 88047.

It is a happy number.

The cubic root of 74088000000 is 4200.

It is a perfect power (a cube), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10583999997 + ... + 10584000003.

Almost surely, 2^74088000000 is an apocalyptic number.

74088000000 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 74088000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159841704000).

74088000000 is an abundant number, since it is smaller than the sum of its proper divisors (245595408000).

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

74088000000 is an frugal number, since it uses more digits than its factorization.

74088000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Multiplying 74088000000 by its sum of digits (27), we get a cube (2000376000000 = 12600³).

74088000000 divided by its sum of digits (27) gives a cube (2744000000 = 1400³).

Adding to 74088000000 its reverse (88047), we get a palindrome (74088088047).

The spelling of 74088000000 in words is "seventy-four billion, eighty-eight million", and thus it is an aban number.