36478839196800 has 6144 divisors, whose sum is σ = 194542348492800. Its totient is φ = 6421059993600.

The previous prime is 36478839196771. The next prime is 36478839196859. The reversal of 36478839196800 is 869193887463.

36478839196800 is a `hidden beast` number, since 3 + 6 + 4 + 78 + 8 + 391 + 96 + 80 + 0 = 666.

36478839196800 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 63221558112 + ... + 63221558688.

It is an arithmetic number, because the mean of its divisors is an integer number (31663793700).

Almost surely, 2^{36478839196800} is an apocalyptic number.

36478839196800 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 36478839196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97271174246400).

36478839196800 is an abundant number, since it is smaller than the sum of its proper divisors (158063509296000).

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

36478839196800 is a wasteful number, since it uses less digits than its factorization.

36478839196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 36478839196800 in words is "thirty-six trillion, four hundred seventy-eight billion, eight hundred thirty-nine million, one hundred ninety-six thousand, eight hundred".