36452006400 has 240 divisors, whose sum is σ = 121878386784. Its totient is φ = 9602580480.

The previous prime is 36452006323. The next prime is 36452006401. The reversal of 36452006400 is 460025463.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (36452006401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3181482 + ... + 3192918.

Almost surely, 2^36452006400 is an apocalyptic number.

36452006400 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 36452006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60939193392).

36452006400 is an abundant number, since it is smaller than the sum of its proper divisors (85426380384).

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

36452006400 is a wasteful number, since it uses less digits than its factorization.

36452006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11530 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 36452006400 in words is "thirty-six billion, four hundred fifty-two million, six thousand, four hundred".