84830820480 has 640 divisors, whose sum is σ = 357440117760. Its totient is φ = 18761932800.

The previous prime is 84830820479. The next prime is 84830820491. The reversal of 84830820480 is 8402803848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 11245510 + ... + 11253050.

It is an arithmetic number, because the mean of its divisors is an integer number (558500184).

Almost surely, 2^84830820480 is an apocalyptic number.

84830820480 is a gapful number since it is divisible by the number (80) 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 84830820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178720058880).

84830820480 is an abundant number, since it is smaller than the sum of its proper divisors (272609297280).

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

84830820480 is a wasteful number, since it uses less digits than its factorization.

84830820480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 84830820480 in words is "eighty-four billion, eight hundred thirty million, eight hundred twenty thousand, four hundred eighty".