36862906080 has 768 divisors, whose sum is σ = 165114464256. Its totient is φ = 6653214720.

The previous prime is 36862906061. The next prime is 36862906103. The reversal of 36862906080 is 8060926863.

It is a super-3 number, since 3×36862906080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8165904 + ... + 8170416.

It is an arithmetic number, because the mean of its divisors is an integer number (214992792).

Almost surely, 2^36862906080 is an apocalyptic number.

36862906080 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 36862906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82557232128).

36862906080 is an abundant number, since it is smaller than the sum of its proper divisors (128251558176).

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

36862906080 is a wasteful number, since it uses less digits than its factorization.

36862906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4579 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 36862906080 in words is "thirty-six billion, eight hundred sixty-two million, nine hundred six thousand, eighty".