6949015920 has 800 divisors, whose sum is σ = 31717255680. Its totient is φ = 1366087680.

The previous prime is 6949015919. The next prime is 6949015961. The reversal of 6949015920 is 295109496.

6949015920 is a `hidden beast` number, since 6 + 9 + 490 + 159 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9479874 + ... + 9480606.

Almost surely, 2^6949015920 is an apocalyptic number.

6949015920 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 6949015920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15858627840).

6949015920 is an abundant number, since it is smaller than the sum of its proper divisors (24768239760).

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

6949015920 is a wasteful number, since it uses less digits than its factorization.

6949015920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 6949015920 is about 83360.7576740999. The cubic root of 6949015920 is about 1908.2756217469.

The spelling of 6949015920 in words is "six billion, nine hundred forty-nine million, fifteen thousand, nine hundred twenty".