84047293440 has 704 divisors, whose sum is σ = 343109952000. Its totient is φ = 19296092160.

The previous prime is 84047293439. The next prime is 84047293441. The reversal of 84047293440 is 4439274048.

84047293440 is a `hidden beast` number, since 84 + 0 + 47 + 2 + 93 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (84047293439) and next prime (84047293441).

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84047293441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28890706 + ... + 28893614.

Almost surely, 2^84047293440 is an apocalyptic number.

84047293440 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 84047293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171554976000).

84047293440 is an abundant number, since it is smaller than the sum of its proper divisors (259062658560).

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

84047293440 is a wasteful number, since it uses less digits than its factorization.

84047293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 84047293440 in words is "eighty-four billion, forty-seven million, two hundred ninety-three thousand, four hundred forty".