361370758275072 has 1120 divisors, whose sum is σ = 1339210794442752. Its totient is φ = 94554121568256.

The previous prime is 361370758275067. The next prime is 361370758275139. The reversal of 361370758275072 is 270572857073163.

361370758275072 is a `hidden beast` number, since 3 + 6 + 1 + 3 + 70 + 7 + 58 + 2 + 7 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7668646903 + ... + 7668694025.

Almost surely, 2^{361370758275072} is an apocalyptic number.

361370758275072 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 361370758275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669605397221376).

361370758275072 is an abundant number, since it is smaller than the sum of its proper divisors (977840036167680).

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

361370758275072 is a wasteful number, since it uses less digits than its factorization.

361370758275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47308 (or 47275 counting only the distinct ones).

The product of its (nonzero) digits is 103723200, while the sum is 63.

The spelling of 361370758275072 in words is "three hundred sixty-one trillion, three hundred seventy billion, seven hundred fifty-eight million, two hundred seventy-five thousand, seventy-two".