36264923735040 has 4224 divisors, whose sum is σ = 179920048508928. Its totient is φ = 6759312261120.

The previous prime is 36264923735009. The next prime is 36264923735059. The reversal of 36264923735040 is 4053732946263.

36264923735040 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 49 + 23 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46079953527 + ... + 46079954313.

Almost surely, 2^{36264923735040} is an apocalyptic number.

36264923735040 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 36264923735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89960024254464).

36264923735040 is an abundant number, since it is smaller than the sum of its proper divisors (143655124773888).

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

36264923735040 is a wasteful number, since it uses less digits than its factorization.

36264923735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

It can be divided in two parts, 36264923 and 735040, that added together give a palindrome (36999963).

The spelling of 36264923735040 in words is "thirty-six trillion, two hundred sixty-four billion, nine hundred twenty-three million, seven hundred thirty-five thousand, forty".