74714640 has 320 divisors, whose sum is σ = 311980032. Its totient is φ = 14284800.

The previous prime is 74714639. The next prime is 74714641. The reversal of 74714640 is 4641747.

It is an interprime number because it is at equal distance from previous prime (74714639) and next prime (74714641).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (74714641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 240085 + ... + 240395.

Almost surely, 2^74714640 is an apocalyptic number.

74714640 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 74714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155990016).

74714640 is an abundant number, since it is smaller than the sum of its proper divisors (237265392).

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

74714640 is a wasteful number, since it uses less digits than its factorization.

74714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 74714640 is about 8643.7630694044. The cubic root of 74714640 is about 421.1808041150.

The spelling of 74714640 in words is "seventy-four million, seven hundred fourteen thousand, six hundred forty".