36465951600 has 480 divisors, whose sum is σ = 140653497600. Its totient is φ = 8919936000.

The previous prime is 36465951581. The next prime is 36465951607. The reversal of 36465951600 is 615956463.

36465951600 is a `hidden beast` number, since 3 + 6 + 46 + 595 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36465951607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25130875 + ... + 25132325.

It is an arithmetic number, because the mean of its divisors is an integer number (293028120).

Almost surely, 2^36465951600 is an apocalyptic number.

36465951600 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 36465951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70326748800).

36465951600 is an abundant number, since it is smaller than the sum of its proper divisors (104187546000).

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

36465951600 is a wasteful number, since it uses less digits than its factorization.

36465951600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 36465951600 in words is "thirty-six billion, four hundred sixty-five million, nine hundred fifty-one thousand, six hundred".