380727440237760 has 896 divisors, whose sum is σ = 1520589794992128. Its totient is φ = 79057678233600.

The previous prime is 380727440237723. The next prime is 380727440237813. The reversal of 380727440237760 is 67732044727083.

It is a super-2 number, since 2×380727440237760² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 380727440237694 and 380727440237703.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13693740019 + ... + 13693767821.

It is an arithmetic number, because the mean of its divisors is an integer number (1697086824768).

Almost surely, 2^{380727440237760} is an apocalyptic number.

380727440237760 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 380727440237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760294897496064).

380727440237760 is an abundant number, since it is smaller than the sum of its proper divisors (1139862354754368).

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

380727440237760 is a wasteful number, since it uses less digits than its factorization.

380727440237760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29394 (or 29362 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 60.

The spelling of 380727440237760 in words is "three hundred eighty trillion, seven hundred twenty-seven billion, four hundred forty million, two hundred thirty-seven thousand, seven hundred sixty".