36415098720 has 1440 divisors, whose sum is σ = 176070809376. Its totient is φ = 6967296000.

The previous prime is 36415098719. The next prime is 36415098721. The reversal of 36415098720 is 2789051463.

36415098720 is a `hidden beast` number, since 3 + 6 + 41 + 509 + 87 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (36415098719) and next prime (36415098721).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36415098721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 90810520 + ... + 90810920.

It is a 1-persistent number, because it is pandigital, but 2⋅36415098720 = 72830197440 is not.

Almost surely, 2^36415098720 is an apocalyptic number.

36415098720 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 36415098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88035404688).

36415098720 is an abundant number, since it is smaller than the sum of its proper divisors (139655710656).

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

36415098720 is a wasteful number, since it uses less digits than its factorization.

36415098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 36415098720 in words is "thirty-six billion, four hundred fifteen million, ninety-eight thousand, seven hundred twenty".