7643461980 has 288 divisors, whose sum is σ = 27387666432. Its totient is φ = 1574899200.

The previous prime is 7643461979. The next prime is 7643462017. The reversal of 7643461980 is 891643467.

It is a super-2 number, since 2×7643461980² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4106250 + ... + 4108110.

It is an arithmetic number, because the mean of its divisors is an integer number (95096064).

Almost surely, 2^7643461980 is an apocalyptic number.

7643461980 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 7643461980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693833216).

7643461980 is an abundant number, since it is smaller than the sum of its proper divisors (19744204452).

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

7643461980 is a wasteful number, since it uses less digits than its factorization.

7643461980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 7643461980 is about 87426.8950609594. The cubic root of 7643461980 is about 1969.8358474197.

The spelling of 7643461980 in words is "seven billion, six hundred forty-three million, four hundred sixty-one thousand, nine hundred eighty".