7101947842704 has 405 divisors, whose sum is σ = 23671753348971. Its totient is φ = 1985279662080.

The previous prime is 7101947842681. The next prime is 7101947842721. The reversal of 7101947842704 is 4072487491017.

The square root of 7101947842704 is 2664948.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4019816482704 + 3082131360000 = 2004948^2 + 1755600^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4573049992 + ... + 4573051544.

Almost surely, 2^{7101947842704} is an apocalyptic number.

7101947842704 is the 2664948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7101947842704

7101947842704 is an abundant number, since it is smaller than the sum of its proper divisors (16569805506267).

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

7101947842704 is a wasteful number, since it uses less digits than its factorization.

7101947842704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 7101947842704 in words is "seven trillion, one hundred one billion, nine hundred forty-seven million, eight hundred forty-two thousand, seven hundred four".