36407889891072 has 360 divisors, whose sum is σ = 126104534230752. Its totient is φ = 10231723008000.

The previous prime is 36407889891053. The next prime is 36407889891091. The reversal of 36407889891072 is 27019898870463.

36407889891072 is a `hidden beast` number, since 36 + 407 + 8 + 8 + 9 + 89 + 107 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (36407889891053) and next prime (36407889891091).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6798322 + ... + 10910222.

Almost surely, 2^{36407889891072} is an apocalyptic number.

36407889891072 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 36407889891072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63052267115376).

36407889891072 is an abundant number, since it is smaller than the sum of its proper divisors (89696644339680).

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

36407889891072 is an equidigital number, since it uses as much as digits as its factorization.

36407889891072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4111997 (or 4111974 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 36407889891072 in words is "thirty-six trillion, four hundred seven billion, eight hundred eighty-nine million, eight hundred ninety-one thousand, seventy-two".