6984512640 has 384 divisors, whose sum is σ = 27702155520. Its totient is φ = 1588469760.

The previous prime is 6984512599. The next prime is 6984512657. The reversal of 6984512640 is 462154896.

6984512640 is a `hidden beast` number, since 6 + 98 + 4 + 512 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12539242 + ... + 12539798.

It is an arithmetic number, because the mean of its divisors is an integer number (72141030).

Almost surely, 2^6984512640 is an apocalyptic number.

6984512640 is a gapful number since it is divisible by the number (60) 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 6984512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13851077760).

6984512640 is an abundant number, since it is smaller than the sum of its proper divisors (20717642880).

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

6984512640 is a wasteful number, since it uses less digits than its factorization.

6984512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6984512640 is about 83573.3967240772. The cubic root of 6984512640 is about 1911.5193670608.

The spelling of 6984512640 in words is "six billion, nine hundred eighty-four million, five hundred twelve thousand, six hundred forty".