36433970496 has 336 divisors, whose sum is σ = 131006453760. Its totient is φ = 9404789760.

The previous prime is 36433970473. The next prime is 36433970509. The reversal of 36433970496 is 69407933463.

36433970496 is a `hidden beast` number, since 3 + 64 + 3 + 3 + 97 + 0 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×36433970496² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7404325 + ... + 7409243.

It is an arithmetic number, because the mean of its divisors is an integer number (389900160).

Almost surely, 2^36433970496 is an apocalyptic number.

36433970496 is a gapful number since it is divisible by the number (36) 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 36433970496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65503226880).

36433970496 is an abundant number, since it is smaller than the sum of its proper divisors (94572483264).

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

36433970496 is a wasteful number, since it uses less digits than its factorization.

36433970496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5122 (or 5109 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 54.

The spelling of 36433970496 in words is "thirty-six billion, four hundred thirty-three million, nine hundred seventy thousand, four hundred ninety-six".