84625352640 has 504 divisors, whose sum is σ = 320170558032. Its totient is φ = 21230346240.

The previous prime is 84625352639. The next prime is 84625352687. The reversal of 84625352640 is 4625352648.

84625352640 is a `hidden beast` number, since 84 + 6 + 2 + 5 + 3 + 526 + 40 = 666.

It is a super-2 number, since 2×84625352640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35690655 + ... + 35693025.

Almost surely, 2^84625352640 is an apocalyptic number.

84625352640 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 84625352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160085279016).

84625352640 is an abundant number, since it is smaller than the sum of its proper divisors (235545205392).

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

84625352640 is an equidigital number, since it uses as much as digits as its factorization.

84625352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 84625352640 in words is "eighty-four billion, six hundred twenty-five million, three hundred fifty-two thousand, six hundred forty".