7067764704 has 768 divisors, whose sum is σ = 27095040000. Its totient is φ = 1585059840.

The previous prime is 7067764699. The next prime is 7067764709. The reversal of 7067764704 is 4074677607.

It is an interprime number because it is at equal distance from previous prime (7067764699) and next prime (7067764709).

It is a super-2 number, since 2×7067764704² = 99906595822216415232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7067764709) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89465337 + ... + 89465415.

It is an arithmetic number, because the mean of its divisors is an integer number (35280000).

Almost surely, 2^7067764704 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 7067764704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520000).

7067764704 is an abundant number, since it is smaller than the sum of its proper divisors (20027275296).

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

7067764704 is a wasteful number, since it uses less digits than its factorization.

7067764704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 48.

The square root of 7067764704 is about 84069.9988343047. The cubic root of 7067764704 is about 1919.0841899785.

The spelling of 7067764704 in words is "seven billion, sixty-seven million, seven hundred sixty-four thousand, seven hundred four".