1018074672 has 120 divisors (see below), whose sum is σ = 2896957440. Its totient is φ = 333728640.

The previous prime is 1018074637. The next prime is 1018074709. The reversal of 1018074672 is 2764708101.

1018074672 is a `hidden beast` number, since 10 + 180 + 7 + 467 + 2 = 666.

1018074672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3273397 + ... + 3273707.

It is an arithmetic number, because the mean of its divisors is an integer number (24141312).

Almost surely, 2^1018074672 is an apocalyptic number.

1018074672 is a gapful number since it is divisible by the number (12) 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 1018074672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448478720).

1018074672 is an abundant number, since it is smaller than the sum of its proper divisors (1878882768).

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

1018074672 is a wasteful number, since it uses less digits than its factorization.

1018074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1018074672 is about 31907.2824289378. The cubic root of 1018074672 is about 1005.9889515233.

The spelling of 1018074672 in words is "one billion, eighteen million, seventy-four thousand, six hundred seventy-two".