7670013120 has 1176 divisors, whose sum is σ = 35320181328. Its totient is φ = 1567641600.

The previous prime is 7670013083. The next prime is 7670013121. The reversal of 7670013120 is 213100767.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7670013121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737890 + ... + 125737950.

Almost surely, 2^7670013120 is an apocalyptic number.

7670013120 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 7670013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17660090664).

7670013120 is an abundant number, since it is smaller than the sum of its proper divisors (27650168208).

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

7670013120 is a wasteful number, since it uses less digits than its factorization.

7670013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7670013120 is about 87578.6110874111. The cubic root of 7670013120 is about 1972.1140883624.

Adding to 7670013120 its reverse (213100767), we get a palindrome (7883113887).

The spelling of 7670013120 in words is "seven billion, six hundred seventy million, thirteen thousand, one hundred twenty".