984356012640 has 768 divisors, whose sum is σ = 4190044723200. Its totient is φ = 187590574080.

The previous prime is 984356012617. The next prime is 984356012657. The reversal of 984356012640 is 46210653489.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 984356012640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75428836 + ... + 75441884.

It is an arithmetic number, because the mean of its divisors is an integer number (5455787400).

Almost surely, 2^984356012640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984356012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2095022361600).

984356012640 is an abundant number, since it is smaller than the sum of its proper divisors (3205688710560).

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

984356012640 is a wasteful number, since it uses less digits than its factorization.

984356012640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13255 (or 13247 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 984356012640 in words is "nine hundred eighty-four billion, three hundred fifty-six million, twelve thousand, six hundred forty".