74963478240 has 336 divisors, whose sum is σ = 303466570848. Its totient is φ = 17134322688.

The previous prime is 74963478209. The next prime is 74963478323. The reversal of 74963478240 is 4287436947.

74963478240 is a `hidden beast` number, since 7 + 496 + 34 + 7 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 770574 + ... + 862386.

It is an arithmetic number, because the mean of its divisors is an integer number (903174318).

Almost surely, 2^74963478240 is an apocalyptic number.

74963478240 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 74963478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151733285424).

74963478240 is an abundant number, since it is smaller than the sum of its proper divisors (228503092608).

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

74963478240 is an equidigital number, since it uses as much as digits as its factorization.

74963478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91853 (or 91830 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 74963478240 in words is "seventy-four billion, nine hundred sixty-three million, four hundred seventy-eight thousand, two hundred forty".