84738213504 has 672 divisors, whose sum is σ = 301975439040. Its totient is φ = 23593006080.

The previous prime is 84738213491. The next prime is 84738213523. The reversal of 84738213504 is 40531283748.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 84738213504.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 196608169 + ... + 196608599.

Almost surely, 2^84738213504 is an apocalyptic number.

84738213504 is a gapful number since it is divisible by the number (84) 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 84738213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150987719520).

84738213504 is an abundant number, since it is smaller than the sum of its proper divisors (217237225536).

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

84738213504 is an equidigital number, since it uses as much as digits as its factorization.

84738213504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 84738213504 in words is "eighty-four billion, seven hundred thirty-eight million, two hundred thirteen thousand, five hundred four".