357730422147072 has 768 divisors, whose sum is σ = 1169056775577600. Its totient is φ = 107412294205440.

The previous prime is 357730422147061. The next prime is 357730422147079. The reversal of 357730422147072 is 270741224037753.

357730422147072 is a `hidden beast` number, since 3 + 5 + 7 + 7 + 3 + 0 + 422 + 147 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (357730422147079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5568883338 + ... + 5568947574.

It is an arithmetic number, because the mean of its divisors is an integer number (1522209343200).

Almost surely, 2^{357730422147072} is an apocalyptic number.

357730422147072 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 357730422147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584528387788800).

357730422147072 is an abundant number, since it is smaller than the sum of its proper divisors (811326353430528).

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

357730422147072 is a wasteful number, since it uses less digits than its factorization.

357730422147072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64469 (or 64443 counting only the distinct ones).

The product of its (nonzero) digits is 13829760, while the sum is 54.

The spelling of 357730422147072 in words is "three hundred fifty-seven trillion, seven hundred thirty billion, four hundred twenty-two million, one hundred forty-seven thousand, seventy-two".