6494977920 has 256 divisors, whose sum is σ = 21150720000. Its totient is φ = 1695006720.

The previous prime is 6494977919. The next prime is 6494977991. The reversal of 6494977920 is 297794946.

It is a hoax number, since the sum of its digits (57) 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 31 ways as a sum of consecutive naturals, for example, 32637981 + ... + 32638179.

It is an arithmetic number, because the mean of its divisors is an integer number (82620000).

Almost surely, 2^6494977920 is an apocalyptic number.

6494977920 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 6494977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360000).

6494977920 is an abundant number, since it is smaller than the sum of its proper divisors (14655742080).

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

6494977920 is a wasteful number, since it uses less digits than its factorization.

6494977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 6494977920 is about 80591.4258466743. The cubic root of 6494977920 is about 1865.7748143232.

The spelling of 6494977920 in words is "six billion, four hundred ninety-four million, nine hundred seventy-seven thousand, nine hundred twenty".