6840639552 has 224 divisors, whose sum is σ = 19302764544. Its totient is φ = 2134886400.

The previous prime is 6840639539. The next prime is 6840639569. The reversal of 6840639552 is 2559360486.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30134863 + ... + 30135089.

It is an arithmetic number, because the mean of its divisors is an integer number (86173056).

Almost surely, 2^6840639552 is an apocalyptic number.

6840639552 is a gapful number since it is divisible by the number (62) 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 6840639552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651382272).

6840639552 is an abundant number, since it is smaller than the sum of its proper divisors (12462124992).

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

6840639552 is a wasteful number, since it uses less digits than its factorization.

6840639552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 6840639552 is about 82708.1589203871. The cubic root of 6840639552 is about 1898.3031528098.

It can be divided in two parts, 68 and 40639552, that added together give a triangular number (40639620 = T₉₀₁₅).

The spelling of 6840639552 in words is "six billion, eight hundred forty million, six hundred thirty-nine thousand, five hundred fifty-two".