36744744960 has 832 divisors, whose sum is σ = 163054632960. Its totient is φ = 7626424320.

The previous prime is 36744744947. The next prime is 36744744973. The reversal of 36744744960 is 6944744763.

36744744960 is a `hidden beast` number, since 3 + 6 + 74 + 474 + 49 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (36744744947) and next prime (36744744973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36744744897 and 36744744906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577489 + ... + 42578351.

Almost surely, 2^36744744960 is an apocalyptic number.

36744744960 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 36744744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81527316480).

36744744960 is an abundant number, since it is smaller than the sum of its proper divisors (126309888000).

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

36744744960 is a wasteful number, since it uses less digits than its factorization.

36744744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 36744744960 in words is "thirty-six billion, seven hundred forty-four million, seven hundred forty-four thousand, nine hundred sixty".