359806380480 has 560 divisors, whose sum is σ = 1362561156000. Its totient is φ = 89866174464.

The previous prime is 359806380467. The next prime is 359806380487. The reversal of 359806380480 is 84083608953.

It is a happy number.

359806380480 is a `hidden beast` number, since 3 + 5 + 9 + 80 + 6 + 3 + 80 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359806380487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43826616 + ... + 43834824.

Almost surely, 2^359806380480 is an apocalyptic number.

359806380480 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 359806380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681280578000).

359806380480 is an abundant number, since it is smaller than the sum of its proper divisors (1002754775520).

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

359806380480 is a wasteful number, since it uses less digits than its factorization.

359806380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8346 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 359806380480 in words is "three hundred fifty-nine billion, eight hundred six million, three hundred eighty thousand, four hundred eighty".