36780480000 has 1200 divisors, whose sum is σ = 153554296896. Its totient is φ = 8709120000.

The previous prime is 36780479971. The next prime is 36780480001. The reversal of 36780480000 is 8408763.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36780480001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 855359979 + ... + 855360021.

Almost surely, 2^36780480000 is an apocalyptic number.

36780480000 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 36780480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76777148448).

36780480000 is an abundant number, since it is smaller than the sum of its proper divisors (116773816896).

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

36780480000 is an frugal number, since it uses more digits than its factorization.

36780480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 36780480000 its reverse (8408763), we get a palindrome (36788888763).

The spelling of 36780480000 in words is "thirty-six billion, seven hundred eighty million, four hundred eighty thousand".