37466766216 has 320 divisors, whose sum is σ = 120833582400. Its totient is φ = 10756009440.

The previous prime is 37466766209. The next prime is 37466766217. The reversal of 37466766216 is 61266766473.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

37466766216 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 6 + 7 + 6 + 621 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 37466766216 = 418³ + 3344³ = 1881³ + 3135³.

It is not an unprimeable number, because it can be changed into a prime (37466766217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1971935055 + ... + 1971935073.

It is an arithmetic number, because the mean of its divisors is an integer number (377604945).

Almost surely, 2^37466766216 is an apocalyptic number.

37466766216 is a gapful number since it is divisible by the number (36) 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 37466766216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60416791200).

37466766216 is an abundant number, since it is smaller than the sum of its proper divisors (83366816184).

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

37466766216 is an frugal number, since it uses more digits than its factorization.

37466766216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 35 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 37466766216 in words is "thirty-seven billion, four hundred sixty-six million, seven hundred sixty-six thousand, two hundred sixteen".