741686400 has 576 divisors, whose sum is σ = 3268749120. Its totient is φ = 155934720.

The previous prime is 741686383. The next prime is 741686411. The reversal of 741686400 is 4686147.

741686400 is a `hidden beast` number, since 7 + 4 + 1 + 6 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2620659 + ... + 2620941.

Almost surely, 2^741686400 is an apocalyptic number.

741686400 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 741686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634374560).

741686400 is an abundant number, since it is smaller than the sum of its proper divisors (2527062720).

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

741686400 is a wasteful number, since it uses less digits than its factorization.

741686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 741686400 is about 27233.9200263201. The cubic root of 741686400 is about 905.1907455860.

The spelling of 741686400 in words is "seven hundred forty-one million, six hundred eighty-six thousand, four hundred".