360795157632 has 1024 divisors, whose sum is σ = 1412554752000. Its totient is φ = 88026808320.

The previous prime is 360795157603. The next prime is 360795157633. The reversal of 360795157632 is 236751597063.

360795157632 is a `hidden beast` number, since 3 + 60 + 7 + 9 + 5 + 1 + 576 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (360795157633) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 224234844 + ... + 224236452.

It is an arithmetic number, because the mean of its divisors is an integer number (1379448000).

Almost surely, 2^360795157632 is an apocalyptic number.

360795157632 is a gapful number since it is divisible by the number (32) 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 360795157632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706277376000).

360795157632 is an abundant number, since it is smaller than the sum of its proper divisors (1051759594368).

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

360795157632 is a wasteful number, since it uses less digits than its factorization.

360795157632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 360795157632 in words is "three hundred sixty billion, seven hundred ninety-five million, one hundred fifty-seven thousand, six hundred thirty-two".