37798823220480 has 2592 divisors, whose sum is σ = 169083895938048. Its totient is φ = 7736485478400.

The previous prime is 37798823220479. The next prime is 37798823220481. The reversal of 37798823220480 is 8402232889773.

37798823220480 is a `hidden beast` number, since 3 + 7 + 79 + 8 + 82 + 3 + 2 + 2 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (37798823220479) and next prime (37798823220481).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37798823220481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18146337519 + ... + 18146339601.

It is an arithmetic number, because the mean of its divisors is an integer number (65232984544).

Almost surely, 2^{37798823220480} is an apocalyptic number.

37798823220480 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 37798823220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84541947969024).

37798823220480 is an abundant number, since it is smaller than the sum of its proper divisors (131285072717568).

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

37798823220480 is a wasteful number, since it uses less digits than its factorization.

37798823220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 37798823220480 in words is "thirty-seven trillion, seven hundred ninety-eight billion, eight hundred twenty-three million, two hundred twenty thousand, four hundred eighty".