37620343821960 has 384 divisors, whose sum is σ = 131385555100800. Its totient is φ = 9669997209600.

The previous prime is 37620343821941. The next prime is 37620343821971. The reversal of 37620343821960 is 6912834302673.

37620343821960 is a `hidden beast` number, since 3 + 7 + 6 + 20 + 343 + 8 + 219 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 37620343821897 and 37620343821906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169298847 + ... + 169520913.

It is an arithmetic number, because the mean of its divisors is an integer number (342149883075).

Almost surely, 2^{37620343821960} is an apocalyptic number.

37620343821960 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 37620343821960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65692777550400).

37620343821960 is an abundant number, since it is smaller than the sum of its proper divisors (93765211278840).

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

37620343821960 is a wasteful number, since it uses less digits than its factorization.

37620343821960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222723 (or 222707 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 37620343821960 in words is "thirty-seven trillion, six hundred twenty billion, three hundred forty-three million, eight hundred twenty-one thousand, nine hundred sixty".