7061753664 has 280 divisors, whose sum is σ = 24966826368. Its totient is φ = 1929692160.

The previous prime is 7061753603. The next prime is 7061753701. The reversal of 7061753664 is 4663571607.

It is a super-2 number, since 2×7061753664² = 99736729622034849792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 830394 + ... + 838854.

Almost surely, 2^7061753664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7061753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483413184).

7061753664 is an abundant number, since it is smaller than the sum of its proper divisors (17905072704).

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

7061753664 is a wasteful number, since it uses less digits than its factorization.

7061753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8515 (or 8496 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7061753664 is about 84034.2410211457. The cubic root of 7061753664 is about 1918.5399837984.

The spelling of 7061753664 in words is "seven billion, sixty-one million, seven hundred fifty-three thousand, six hundred sixty-four".