84974000628 has 144 divisors (see below), whose sum is σ = 221591704320. Its totient is φ = 25321021440.

The previous prime is 84974000611. The next prime is 84974000633. The reversal of 84974000628 is 82600047948.

84974000628 is a nontrivial binomial coefficient, being equal to C(412248, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24939301 + ... + 24942707.

It is an arithmetic number, because the mean of its divisors is an integer number (1538831280).

Almost surely, 2^84974000628 is an apocalyptic number.

84974000628 is the 412247-th triangular number and also the 206124-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84974000628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110795852160).

84974000628 is an abundant number, since it is smaller than the sum of its proper divisors (136617703692).

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

84974000628 is a wasteful number, since it uses less digits than its factorization.

84974000628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 84974000628 in words is "eighty-four billion, nine hundred seventy-four million, six hundred twenty-eight", and thus it is an aban number.