643122480 has 320 divisors, whose sum is σ = 2677828608. Its totient is φ = 123310080.

The previous prime is 643122443. The next prime is 643122499. The reversal of 643122480 is 84221346.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 238902 + ... + 241578.

Almost surely, 2^643122480 is an apocalyptic number.

643122480 is a gapful number since it is divisible by the number (60) 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 643122480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338914304).

643122480 is an abundant number, since it is smaller than the sum of its proper divisors (2034706128).

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

643122480 is a wasteful number, since it uses less digits than its factorization.

643122480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 643122480 is about 25359.8596210626. The cubic root of 643122480 is about 863.1730986030.

The spelling of 643122480 in words is "six hundred forty-three million, one hundred twenty-two thousand, four hundred eighty".