37779224560 has 320 divisors, whose sum is σ = 117249638400. Its totient is φ = 10964505600.

The previous prime is 37779224557. The next prime is 37779224597. The reversal of 37779224560 is 6542297773.

It is a junction number, because it is equal to n+sod(n) for n = 37779224498 and 37779224507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6902625 + ... + 6908095.

It is an arithmetic number, because the mean of its divisors is an integer number (366405120).

Almost surely, 2^37779224560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37779224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58624819200).

37779224560 is an abundant number, since it is smaller than the sum of its proper divisors (79470413840).

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

37779224560 is a wasteful number, since it uses less digits than its factorization.

37779224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 52.

The spelling of 37779224560 in words is "thirty-seven billion, seven hundred seventy-nine million, two hundred twenty-four thousand, five hundred sixty".