20115740736 has 336 divisors, whose sum is σ = 71228102400. Its totient is φ = 5285523456.

The previous prime is 20115740713. The next prime is 20115740737. The reversal of 20115740736 is 63704751102.

It is a happy number.

20115740736 is a `hidden beast` number, since 2 + 0 + 11 + 574 + 0 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 20115740736.

It is not an unprimeable number, because it can be changed into a prime (20115740737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18816810 + ... + 18817878.

It is an arithmetic number, because the mean of its divisors is an integer number (211988400).

Almost surely, 2^20115740736 is an apocalyptic number.

20115740736 is a gapful number since it is divisible by the number (26) 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 20115740736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614051200).

20115740736 is an abundant number, since it is smaller than the sum of its proper divisors (51112361664).

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

20115740736 is a wasteful number, since it uses less digits than its factorization.

20115740736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 20115740736 in words is "twenty billion, one hundred fifteen million, seven hundred forty thousand, seven hundred thirty-six".