74894601600 has 1728 divisors, whose sum is σ = 356961215520. Its totient is φ = 14509670400.

The previous prime is 74894601581. The next prime is 74894601619. The reversal of 74894601600 is 610649847.

74894601600 is a `hidden beast` number, since 7 + 489 + 4 + 6 + 0 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74894601581) and next prime (74894601619).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1826697580 + ... + 1826697620.

Almost surely, 2^74894601600 is an apocalyptic number.

74894601600 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 74894601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178480607760).

74894601600 is an abundant number, since it is smaller than the sum of its proper divisors (282066613920).

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

74894601600 is a wasteful number, since it uses less digits than its factorization.

74894601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 88 counting only the distinct ones).

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

The spelling of 74894601600 in words is "seventy-four billion, eight hundred ninety-four million, six hundred one thousand, six hundred".