7064977920 has 640 divisors, whose sum is σ = 30358056960. Its totient is φ = 1353646080.

The previous prime is 7064977897. The next prime is 7064977943. The reversal of 7064977920 is 297794607.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7064977897) and next prime (7064977943).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×7064977920³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7687221 + ... + 7688139.

It is an arithmetic number, because the mean of its divisors is an integer number (47434464).

Almost surely, 2^7064977920 is an apocalyptic number.

7064977920 is a gapful number since it is divisible by the number (70) 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 7064977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179028480).

7064977920 is an abundant number, since it is smaller than the sum of its proper divisors (23293079040).

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

7064977920 is a wasteful number, since it uses less digits than its factorization.

7064977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 51.

The square root of 7064977920 is about 84053.4230117965. The cubic root of 7064977920 is about 1918.8319284126.

It can be divided in two parts, 706497 and 7920, that added together give a palindrome (714417).

The spelling of 7064977920 in words is "seven billion, sixty-four million, nine hundred seventy-seven thousand, nine hundred twenty".