74646093060 has 864 divisors, whose sum is σ = 304368180480. Its totient is φ = 14452162560.

The previous prime is 74646093029. The next prime is 74646093091. The reversal of 74646093060 is 6039064647.

74646093060 is a `hidden beast` number, since 7 + 4 + 6 + 4 + 609 + 30 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74646093029) and next prime (74646093091).

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

It is a junction number, because it is equal to n+sod(n) for n = 74646092997 and 74646093015.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211461844 + ... + 211462196.

Almost surely, 2^74646093060 is an apocalyptic number.

74646093060 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 74646093060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152184090240).

74646093060 is an abundant number, since it is smaller than the sum of its proper divisors (229722087420).

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

74646093060 is a wasteful number, since it uses less digits than its factorization.

74646093060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 74646093060 in words is "seventy-four billion, six hundred forty-six million, ninety-three thousand, sixty".