6946129824 has 192 divisors, whose sum is σ = 20044910592. Its totient is φ = 2096640000.

The previous prime is 6946129781. The next prime is 6946129847. The reversal of 6946129824 is 4289216496.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 12698319 + ... + 12698865.

It is an arithmetic number, because the mean of its divisors is an integer number (104400576).

Almost surely, 2^6946129824 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 6946129824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022455296).

6946129824 is an abundant number, since it is smaller than the sum of its proper divisors (13098780768).

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

6946129824 is a wasteful number, since it uses less digits than its factorization.

6946129824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 851 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 51.

The square root of 6946129824 is about 83343.4449971922. Note that the first 3 decimals coincide. The cubic root of 6946129824 is about 1908.0114006764.

The spelling of 6946129824 in words is "six billion, nine hundred forty-six million, one hundred twenty-nine thousand, eight hundred twenty-four".