6985557936 has 480 divisors, whose sum is σ = 24793651200. Its totient is φ = 1866893184.

The previous prime is 6985557913. The next prime is 6985557937. The reversal of 6985557936 is 6397555896.

6985557936 is a `hidden beast` number, since 6 + 9 + 8 + 55 + 579 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6985557937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88424745 + ... + 88424823.

It is an arithmetic number, because the mean of its divisors is an integer number (51653440).

Almost surely, 2^6985557936 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 6985557936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12396825600).

6985557936 is an abundant number, since it is smaller than the sum of its proper divisors (17808093264).

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

6985557936 is an equidigital number, since it uses as much as digits as its factorization.

6985557936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 110 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 63.

The square root of 6985557936 is about 83579.6502505245. The cubic root of 6985557936 is about 1911.6147210715.

The spelling of 6985557936 in words is "six billion, nine hundred eighty-five million, five hundred fifty-seven thousand, nine hundred thirty-six".