378020597760 has 624 divisors, whose sum is σ = 1463618205504. Its totient is φ = 93035298816.

The previous prime is 378020597723. The next prime is 378020597789. The reversal of 378020597760 is 67795020873.

378020597760 is a `hidden beast` number, since 378 + 0 + 205 + 9 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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 = 378020597697 and 378020597706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64693399 + ... + 64699241.

It is an arithmetic number, because the mean of its divisors is an integer number (2345541996).

Almost surely, 2^378020597760 is an apocalyptic number.

378020597760 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 378020597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731809102752).

378020597760 is an abundant number, since it is smaller than the sum of its proper divisors (1085597607744).

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

378020597760 is an equidigital number, since it uses as much as digits as its factorization.

378020597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 378020597760 in words is "three hundred seventy-eight billion, twenty million, five hundred ninety-seven thousand, seven hundred sixty".