7351064505720 has 1024 divisors, whose sum is σ = 29487338496000. Its totient is φ = 1609246310400.

The previous prime is 7351064505709. The next prime is 7351064505731. The reversal of 7351064505720 is 275054601537.

It is a happy number.

7351064505720 is a `hidden beast` number, since 7 + 3 + 5 + 10 + 64 + 5 + 0 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7351064505709) and next prime (7351064505731).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1954548640 + ... + 1954552400.

It is an arithmetic number, because the mean of its divisors is an integer number (28796229000).

Almost surely, 2^{7351064505720} 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 7351064505720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14743669248000).

7351064505720 is an abundant number, since it is smaller than the sum of its proper divisors (22136273990280).

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

7351064505720 is a wasteful number, since it uses less digits than its factorization.

7351064505720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 7351064505720 in words is "seven trillion, three hundred fifty-one billion, sixty-four million, five hundred five thousand, seven hundred twenty".