36249845760 has 420 divisors, whose sum is σ = 130650679488. Its totient is φ = 9650700288.

The previous prime is 36249845701. The next prime is 36249845783. The reversal of 36249845760 is 6754894263.

36249845760 is a `hidden beast` number, since 3 + 62 + 4 + 9 + 8 + 4 + 576 + 0 = 666.

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 = 36249845697 and 36249845706.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 59719377 + ... + 59719983.

Almost surely, 2^36249845760 is an apocalyptic number.

36249845760 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 36249845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65325339744).

36249845760 is an abundant number, since it is smaller than the sum of its proper divisors (94400833728).

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

36249845760 is an frugal number, since it uses more digits than its factorization.

36249845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 36249845760 in words is "thirty-six billion, two hundred forty-nine million, eight hundred forty-five thousand, seven hundred sixty".