36478826400 has 288 divisors, whose sum is σ = 122422164480. Its totient is φ = 9429396480.

The previous prime is 36478826381. The next prime is 36478826411. The reversal of 36478826400 is 462887463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36478826400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14343529 + ... + 14346071.

It is an arithmetic number, because the mean of its divisors is an integer number (425076960).

Almost surely, 2^36478826400 is an apocalyptic number.

36478826400 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 36478826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61211082240).

36478826400 is an abundant number, since it is smaller than the sum of its proper divisors (85943338080).

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

36478826400 is a wasteful number, since it uses less digits than its factorization.

36478826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2735 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 36478826400 in words is "thirty-six billion, four hundred seventy-eight million, eight hundred twenty-six thousand, four hundred".