7466770080 has 384 divisors, whose sum is σ = 32583720960. Its totient is φ = 1551467520.

The previous prime is 7466770079. The next prime is 7466770097. The reversal of 7466770080 is 800776647.

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

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, 321417 + ... + 343863.

It is an arithmetic number, because the mean of its divisors is an integer number (84853440).

Almost surely, 2^7466770080 is an apocalyptic number.

7466770080 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 7466770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291860480).

7466770080 is an abundant number, since it is smaller than the sum of its proper divisors (25116950880).

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

7466770080 is a wasteful number, since it uses less digits than its factorization.

7466770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22489 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 7466770080 is about 86410.4743650907. The cubic root of 7466770080 is about 1954.5386352077.

The spelling of 7466770080 in words is "seven billion, four hundred sixty-six million, seven hundred seventy thousand, eighty".