6736968420 has 384 divisors, whose sum is σ = 24779768832. Its totient is φ = 1327104000.

The previous prime is 6736968419. The next prime is 6736968431. The reversal of 6736968420 is 248696376.

It is a happy number.

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 127 ways as a sum of consecutive naturals, for example, 16800220 + ... + 16800620.

It is an arithmetic number, because the mean of its divisors is an integer number (64530648).

Almost surely, 2^6736968420 is an apocalyptic number.

6736968420 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 6736968420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12389884416).

6736968420 is an abundant number, since it is smaller than the sum of its proper divisors (18042800412).

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

6736968420 is a wasteful number, since it uses less digits than its factorization.

6736968420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The square root of 6736968420 is about 82079.0376405572. The cubic root of 6736968420 is about 1888.6645867425.

The spelling of 6736968420 in words is "six billion, seven hundred thirty-six million, nine hundred sixty-eight thousand, four hundred twenty".