1036316455680 has 576 divisors, whose sum is σ = 3673772444160. Its totient is φ = 246870835200.

The previous prime is 1036316455661. The next prime is 1036316455693. The reversal of 1036316455680 is 865546136301.

It is a super-3 number, since 3×1036316455680³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 680443399 + ... + 680444921.

It is an arithmetic number, because the mean of its divisors is an integer number (6378077160).

Almost surely, 2^{1036316455680} is an apocalyptic number.

1036316455680 is a gapful number since it is divisible by the number (10) 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 1036316455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836886222080).

1036316455680 is an abundant number, since it is smaller than the sum of its proper divisors (2637455988480).

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

1036316455680 is a wasteful number, since it uses less digits than its factorization.

1036316455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 1036316455680 in words is "one trillion, thirty-six billion, three hundred sixteen million, four hundred fifty-five thousand, six hundred eighty".