309628712442060 has 432 divisors, whose sum is σ = 1057799037728160. Its totient is φ = 73212170803200.

The previous prime is 309628712442053. The next prime is 309628712442079. The reversal of 309628712442060 is 60244217826903.

It is a happy number.

309628712442060 is a `hidden beast` number, since 3 + 0 + 9 + 62 + 87 + 1 + 2 + 442 + 0 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 309628712441988 and 309628712442006.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3696002334 + ... + 3696086106.

It is an arithmetic number, because the mean of its divisors is an integer number (2448608883630).

Almost surely, 2^{309628712442060} is an apocalyptic number.

309628712442060 is a gapful number since it is divisible by the number (30) 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 309628712442060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528899518864080).

309628712442060 is an abundant number, since it is smaller than the sum of its proper divisors (748170325286100).

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

309628712442060 is a wasteful number, since it uses less digits than its factorization.

309628712442060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87990 (or 87974 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 309628712442060 in words is "three hundred nine trillion, six hundred twenty-eight billion, seven hundred twelve million, four hundred forty-two thousand, sixty".