37330006228416 has 336 divisors, whose sum is σ = 117251095643136. Its totient is φ = 11261376000000.

The previous prime is 37330006228373. The next prime is 37330006228451. The reversal of 37330006228416 is 61482260003373.

37330006228416 is a `hidden beast` number, since 3 + 7 + 3 + 3 + 0 + 0 + 0 + 6 + 228 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4009232401 + ... + 4009241711.

It is an arithmetic number, because the mean of its divisors is an integer number (348961594176).

Almost surely, 2^{37330006228416} is an apocalyptic number.

37330006228416 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 37330006228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58625547821568).

37330006228416 is an abundant number, since it is smaller than the sum of its proper divisors (79921089414720).

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

37330006228416 is a wasteful number, since it uses less digits than its factorization.

37330006228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12112 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

It can be divided in two parts, 3733000 and 6228416, that added together give a triangular number (9961416 = T₄₄₆₃).

The spelling of 37330006228416 in words is "thirty-seven trillion, three hundred thirty billion, six million, two hundred twenty-eight thousand, four hundred sixteen".