360095009664 has 256 divisors, whose sum is σ = 1138099092480. Its totient is φ = 99746414592.

The previous prime is 360095009663. The next prime is 360095009699. The reversal of 360095009664 is 466900590063.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360095009663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1859629 + ... + 2044115.

It is an arithmetic number, because the mean of its divisors is an integer number (4445699580).

Almost surely, 2^360095009664 is an apocalyptic number.

360095009664 is a gapful number since it is divisible by the number (34) 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 360095009664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569049546240).

360095009664 is an abundant number, since it is smaller than the sum of its proper divisors (778004082816).

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

360095009664 is a wasteful number, since it uses less digits than its factorization.

360095009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184557 (or 184545 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 360095009664 in words is "three hundred sixty billion, ninety-five million, nine thousand, six hundred sixty-four".