74363214240 has 1152 divisors, whose sum is σ = 323220602880. Its totient is φ = 15634612224.

The previous prime is 74363214187. The next prime is 74363214251. The reversal of 74363214240 is 4241236347.

74363214240 is a `hidden beast` number, since 7 + 4 + 3 + 632 + 14 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 74363214195 and 74363214204.

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 191 ways as a sum of consecutive naturals, for example, 585537057 + ... + 585537183.

It is an arithmetic number, because the mean of its divisors is an integer number (280573440).

Almost surely, 2^74363214240 is an apocalyptic number.

74363214240 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 74363214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161610301440).

74363214240 is an abundant number, since it is smaller than the sum of its proper divisors (248857388640).

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

74363214240 is a wasteful number, since it uses less digits than its factorization.

74363214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 74363214240 in words is "seventy-four billion, three hundred sixty-three million, two hundred fourteen thousand, two hundred forty".