6950578477920 has 768 divisors, whose sum is σ = 28151080796160. Its totient is φ = 1399768473600.

The previous prime is 6950578477907. The next prime is 6950578478017. The reversal of 6950578477920 is 297748750596.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154802994 + ... + 154847886.

It is an arithmetic number, because the mean of its divisors is an integer number (36655053120).

Almost surely, 2^{6950578477920} is an apocalyptic number.

6950578477920 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 6950578477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075540398080).

6950578477920 is an abundant number, since it is smaller than the sum of its proper divisors (21200502318240).

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

6950578477920 is a wasteful number, since it uses less digits than its factorization.

6950578477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45059 (or 45051 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 69.

The spelling of 6950578477920 in words is "six trillion, nine hundred fifty billion, five hundred seventy-eight million, four hundred seventy-seven thousand, nine hundred twenty".