36487131004800 has 1536 divisors, whose sum is σ = 158829334272000. Its totient is φ = 8003472261120.

The previous prime is 36487131004757. The next prime is 36487131004823. The reversal of 36487131004800 is 840013178463.

36487131004800 is a `hidden beast` number, since 3 + 64 + 8 + 7 + 1 + 3 + 100 + 480 + 0 = 666.

It is a super-2 number, since 2×36487131004800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2929040172 + ... + 2929052628.

It is an arithmetic number, because the mean of its divisors is an integer number (103404514500).

Almost surely, 2^{36487131004800} is an apocalyptic number.

36487131004800 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 36487131004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79414667136000).

36487131004800 is an abundant number, since it is smaller than the sum of its proper divisors (122342203267200).

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

36487131004800 is a wasteful number, since it uses less digits than its factorization.

36487131004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12693 (or 12670 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 36487131004800 in words is "thirty-six trillion, four hundred eighty-seven billion, one hundred thirty-one million, four thousand, eight hundred".