74382129360 has 640 divisors, whose sum is σ = 325979136000. Its totient is φ = 15454333440.

The previous prime is 74382129299. The next prime is 74382129383. The reversal of 74382129360 is 6392128347.

74382129360 is a `hidden beast` number, since 74 + 3 + 8 + 212 + 9 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8145117 + ... + 8154243.

It is an arithmetic number, because the mean of its divisors is an integer number (509342400).

Almost surely, 2^74382129360 is an apocalyptic number.

74382129360 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 74382129360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162989568000).

74382129360 is an abundant number, since it is smaller than the sum of its proper divisors (251597006640).

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

74382129360 is a wasteful number, since it uses less digits than its factorization.

74382129360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9181 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 74382129360 in words is "seventy-four billion, three hundred eighty-two million, one hundred twenty-nine thousand, three hundred sixty".