84994761600 has 576 divisors, whose sum is σ = 348753169440. Its totient is φ = 19307151360.

The previous prime is 84994761587. The next prime is 84994761613. The reversal of 84994761600 is 616749948.

84994761600 is a `hidden beast` number, since 8 + 4 + 9 + 9 + 476 + 160 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (84994761587) and next prime (84994761613).

It is a tau number, because it is divible by the number of its divisors (576).

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, 34875582 + ... + 34878018.

Almost surely, 2^84994761600 is an apocalyptic number.

84994761600 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 84994761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174376584720).

84994761600 is an abundant number, since it is smaller than the sum of its proper divisors (263758407840).

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

84994761600 is a wasteful number, since it uses less digits than its factorization.

84994761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 84994761600 in words is "eighty-four billion, nine hundred ninety-four million, seven hundred sixty-one thousand, six hundred".