494768977920 has 1152 divisors, whose sum is σ = 2083929120000. Its totient is φ = 110993670144.

The previous prime is 494768977907. The next prime is 494768977921. The reversal of 494768977920 is 29779867494.

494768977920 is a `hidden beast` number, since 4 + 9 + 476 + 89 + 7 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494768977921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 799303371 + ... + 799303989.

It is an arithmetic number, because the mean of its divisors is an integer number (1808966250).

Almost surely, 2^494768977920 is an apocalyptic number.

494768977920 is a gapful number since it is divisible by the number (40) 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 494768977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041964560000).

494768977920 is an abundant number, since it is smaller than the sum of its proper divisors (1589160142080).

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

494768977920 is a wasteful number, since it uses less digits than its factorization.

494768977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 494768977920 in words is "four hundred ninety-four billion, seven hundred sixty-eight million, nine hundred seventy-seven thousand, nine hundred twenty".