7670220480 has 840 divisors, whose sum is σ = 31586192352. Its totient is φ = 1759739904.

The previous prime is 7670220461. The next prime is 7670220487. The reversal of 7670220480 is 840220767.

It is a super-2 number, since 2×7670220480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7670220487) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 74468109 + ... + 74468211.

Almost surely, 2^7670220480 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 7670220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793096176).

7670220480 is an abundant number, since it is smaller than the sum of its proper divisors (23915971872).

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

7670220480 is a wasteful number, since it uses less digits than its factorization.

7670220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7670220480 is about 87579.7949301093. The cubic root of 7670220480 is about 1972.1318603395.

It can be divided in two parts, 7670 and 220480, that added together give a triangular number (228150 = T₆₇₅).

The spelling of 7670220480 in words is "seven billion, six hundred seventy million, two hundred twenty thousand, four hundred eighty".