36785999712 has 1152 divisors, whose sum is σ = 142968913920. Its totient is φ = 8128512000.

The previous prime is 36785999699. The next prime is 36785999713. The reversal of 36785999712 is 21799958763.

It is a super-2 number, since 2×36785999712² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36785999713) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 518112637 + ... + 518112707.

It is an arithmetic number, because the mean of its divisors is an integer number (124104960).

Almost surely, 2^36785999712 is an apocalyptic number.

36785999712 is a gapful number since it is divisible by the number (32) 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 36785999712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71484456960).

36785999712 is an abundant number, since it is smaller than the sum of its proper divisors (106182914208).

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

36785999712 is a wasteful number, since it uses less digits than its factorization.

36785999712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 161 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 66.

The spelling of 36785999712 in words is "thirty-six billion, seven hundred eighty-five million, nine hundred ninety-nine thousand, seven hundred twelve".