360813351780 has 288 divisors, whose sum is σ = 1312344004608. Its totient is φ = 78502348800.

The previous prime is 360813351641. The next prime is 360813351791. The reversal of 360813351780 is 87153318063.

360813351780 is a `hidden beast` number, since 3 + 608 + 1 + 3 + 35 + 1 + 7 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2306944 + ... + 2458376.

It is an arithmetic number, because the mean of its divisors is an integer number (4556750016).

Almost surely, 2^360813351780 is an apocalyptic number.

360813351780 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 360813351780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656172002304).

360813351780 is an abundant number, since it is smaller than the sum of its proper divisors (951530652828).

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

360813351780 is a wasteful number, since it uses less digits than its factorization.

360813351780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151547 (or 151542 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 360813351780 in words is "three hundred sixty billion, eight hundred thirteen million, three hundred fifty-one thousand, seven hundred eighty".