10074709863900 has 432 divisors, whose sum is σ = 34589889105408. Its totient is φ = 2432415744000.

The previous prime is 10074709863863. The next prime is 10074709863937. The reversal of 10074709863900 is 936890747001.

It is a happy number.

10074709863900 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 470 + 9 + 86 + 3 + 90 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10074709863863) and next prime (10074709863937).

It is a congruent number.

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, 2914290972 + ... + 2914294428.

It is an arithmetic number, because the mean of its divisors is an integer number (80069187744).

Almost surely, 2^{10074709863900} is an apocalyptic number.

10074709863900 is a gapful number since it is divisible by the number (10) 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 10074709863900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17294944552704).

10074709863900 is an abundant number, since it is smaller than the sum of its proper divisors (24515179241508).

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

10074709863900 is a wasteful number, since it uses less digits than its factorization.

10074709863900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4602 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10074709863900 in words is "ten trillion, seventy-four billion, seven hundred nine million, eight hundred sixty-three thousand, nine hundred".