84628974156480 has 672 divisors, whose sum is σ = 326907034272000. Its totient is φ = 20715324715008.

The previous prime is 84628974156479. The next prime is 84628974156491. The reversal of 84628974156480 is 8465147982648.

84628974156480 is a `hidden beast` number, since 8 + 4 + 6 + 2 + 8 + 97 + 4 + 1 + 56 + 480 = 666.

It is a super-3 number, since 3×84628974156480³ (a number of 43 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84628974156399 and 84628974156408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180713671 + ... + 181181369.

It is an arithmetic number, because the mean of its divisors is an integer number (486468801000).

Almost surely, 2^{84628974156480} is an apocalyptic number.

84628974156480 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 84628974156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163453517136000).

84628974156480 is an abundant number, since it is smaller than the sum of its proper divisors (242278060115520).

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

84628974156480 is a wasteful number, since it uses less digits than its factorization.

84628974156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467923 (or 467901 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 84628974156480 in words is "eighty-four trillion, six hundred twenty-eight billion, nine hundred seventy-four million, one hundred fifty-six thousand, four hundred eighty".