1327645687500 has 672 divisors, whose sum is σ = 4756964110080. Its totient is φ = 321489000000.

The previous prime is 1327645687481. The next prime is 1327645687519. The reversal of 1327645687500 is 57865467231.

1327645687500 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 6 + 4 + 56 + 87 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (1327645687481) and next prime (1327645687519).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1503562059 + ... + 1503562941.

It is an arithmetic number, because the mean of its divisors is an integer number (7078815640).

Almost surely, 2^{1327645687500} is an apocalyptic number.

1327645687500 is a gapful number since it is divisible by the number (10) 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 1327645687500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378482055040).

1327645687500 is an abundant number, since it is smaller than the sum of its proper divisors (3429318422580).

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

1327645687500 is an frugal number, since it uses more digits than its factorization.

1327645687500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 1327645687500 in words is "one trillion, three hundred twenty-seven billion, six hundred forty-five million, six hundred eighty-seven thousand, five hundred".