1036464507936 has 768 divisors, whose sum is σ = 3664048711680. Its totient is φ = 280875479040.

The previous prime is 1036464507889. The next prime is 1036464507937. The reversal of 1036464507936 is 6397054646301.

1036464507936 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 46 + 4 + 507 + 93 + 6 = 666.

It is a super-2 number, since 2×1036464507936² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1036464507937) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 543504295 + ... + 543506201.

It is an arithmetic number, because the mean of its divisors is an integer number (4770896760).

Almost surely, 2^{1036464507936} is an apocalyptic number.

1036464507936 is a gapful number since it is divisible by the number (16) 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 1036464507936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832024355840).

1036464507936 is an abundant number, since it is smaller than the sum of its proper divisors (2627584203744).

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

1036464507936 is a wasteful number, since it uses less digits than its factorization.

1036464507936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 1036464507936 in words is "one trillion, thirty-six billion, four hundred sixty-four million, five hundred seven thousand, nine hundred thirty-six".