74649984 has 64 divisors (see below), whose sum is σ = 204718080. Its totient is φ = 24076800.

The previous prime is 74649983. The next prime is 74649989. The reversal of 74649984 is 48994647.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×74649984² = 11145240222400512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74649983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8769 + ... + 15039.

It is an arithmetic number, because the mean of its divisors is an integer number (3198720).

Almost surely, 2^74649984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74649984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102359040).

74649984 is an abundant number, since it is smaller than the sum of its proper divisors (130068096).

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

74649984 is a wasteful number, since it uses less digits than its factorization.

74649984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6307 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 74649984 is about 8640.0222221936. The cubic root of 74649984 is about 421.0592762811.

The spelling of 74649984 in words is "seventy-four million, six hundred forty-nine thousand, nine hundred eighty-four".