84677651520 has 448 divisors, whose sum is σ = 342337314816. Its totient is φ = 17220280320.

The previous prime is 84677651507. The next prime is 84677651521. The reversal of 84677651520 is 2515677648.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (84677651521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3462054 + ... + 3486426.

It is an arithmetic number, because the mean of its divisors is an integer number (764145792).

Almost surely, 2^84677651520 is an apocalyptic number.

84677651520 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 84677651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171168657408).

84677651520 is an abundant number, since it is smaller than the sum of its proper divisors (257659663296).

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

84677651520 is a wasteful number, since it uses less digits than its factorization.

84677651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24458 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 84677651520 in words is "eighty-four billion, six hundred seventy-seven million, six hundred fifty-one thousand, five hundred twenty".