37051772022240 has 384 divisors, whose sum is σ = 121390011445248. Its totient is φ = 9492029521920.

The previous prime is 37051772022211. The next prime is 37051772022241. The reversal of 37051772022240 is 4222027715073.

37051772022240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 37051772022192 and 37051772022201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37051772022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6852553617 + ... + 6852559023.

It is an arithmetic number, because the mean of its divisors is an integer number (316119821472).

Almost surely, 2^{37051772022240} is an apocalyptic number.

37051772022240 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 37051772022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60695005722624).

37051772022240 is an abundant number, since it is smaller than the sum of its proper divisors (84338239423008).

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

37051772022240 is a wasteful number, since it uses less digits than its factorization.

37051772022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10730 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 37051772022240 in words is "thirty-seven trillion, fifty-one billion, seven hundred seventy-two million, twenty-two thousand, two hundred forty".