7386578906112 has 1584 divisors, whose sum is σ = 28012761036000. Its totient is φ = 1857351057408.

The previous prime is 7386578906107. The next prime is 7386578906123. The reversal of 7386578906112 is 2116098756837.

7386578906112 is a `hidden beast` number, since 7 + 3 + 8 + 6 + 5 + 7 + 8 + 9 + 0 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 7386578906112.

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, 12981684964 + ... + 12981685532.

Almost surely, 2^{7386578906112} is an apocalyptic number.

7386578906112 is a gapful number since it is divisible by the number (72) 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 7386578906112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006380518000).

7386578906112 is an abundant number, since it is smaller than the sum of its proper divisors (20626182129888).

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

7386578906112 is a wasteful number, since it uses less digits than its factorization.

7386578906112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 7386578906112 in words is "seven trillion, three hundred eighty-six billion, five hundred seventy-eight million, nine hundred six thousand, one hundred twelve".