36960671040 has 448 divisors, whose sum is σ = 127681256448. Its totient is φ = 9024307200.

The previous prime is 36960671039. The next prime is 36960671051. The reversal of 36960671040 is 4017606963.

It is a junction number, because it is equal to n+sod(n) for n = 36960670983 and 36960671001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136386105 + ... + 136386375.

Almost surely, 2^36960671040 is an apocalyptic number.

36960671040 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 36960671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840628224).

36960671040 is an abundant number, since it is smaller than the sum of its proper divisors (90720585408).

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

36960671040 is a wasteful number, since it uses less digits than its factorization.

36960671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 36960671040 in words is "thirty-six billion, nine hundred sixty million, six hundred seventy-one thousand, forty".