74185100640 has 1152 divisors, whose sum is σ = 316219438080. Its totient is φ = 16070565888.

The previous prime is 74185100629. The next prime is 74185100663. The reversal of 74185100640 is 4600158147.

It is a happy number.

74185100640 is a `hidden beast` number, since 7 + 4 + 1 + 8 + 5 + 1 + 0 + 0 + 640 = 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 = 74185100595 and 74185100604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 533705691 + ... + 533705829.

It is an arithmetic number, because the mean of its divisors is an integer number (274496040).

Almost surely, 2^74185100640 is an apocalyptic number.

74185100640 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 74185100640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158109719040).

74185100640 is an abundant number, since it is smaller than the sum of its proper divisors (242034337440).

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

74185100640 is a wasteful number, since it uses less digits than its factorization.

74185100640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Adding to 74185100640 its reverse (4600158147), we get a palindrome (78785258787).

The spelling of 74185100640 in words is "seventy-four billion, one hundred eighty-five million, one hundred thousand, six hundred forty".