84319649280 has 240 divisors, whose sum is σ = 299918196864. Its totient is φ = 21877309440.

The previous prime is 84319649269. The next prime is 84319649291. The reversal of 84319649280 is 8294691348.

84319649280 is a `hidden beast` number, since 8 + 4 + 319 + 6 + 49 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (84319649269) and next prime (84319649291).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803025 + ... + 901935.

Almost surely, 2^84319649280 is an apocalyptic number.

84319649280 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 84319649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149959098432).

84319649280 is an abundant number, since it is smaller than the sum of its proper divisors (215598547584).

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

84319649280 is a wasteful number, since it uses less digits than its factorization.

84319649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98977 (or 98958 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 84319649280 in words is "eighty-four billion, three hundred nineteen million, six hundred forty-nine thousand, two hundred eighty".