4654567680 has 288 divisors, whose sum is σ = 17388585984. Its totient is φ = 1038901248.

The previous prime is 4654567679. The next prime is 4654567703. The reversal of 4654567680 is 867654564.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153827 + ... + 1157853.

Almost surely, 2^4654567680 is an apocalyptic number.

4654567680 is a gapful number since it is divisible by the number (40) 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 4654567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8694292992).

4654567680 is an abundant number, since it is smaller than the sum of its proper divisors (12734018304).

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

4654567680 is a wasteful number, since it uses less digits than its factorization.

4654567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The square root of 4654567680 is about 68224.3921189482. The cubic root of 4654567680 is about 1669.6538754625.

The spelling of 4654567680 in words is "four billion, six hundred fifty-four million, five hundred sixty-seven thousand, six hundred eighty".