496478737920 has 640 divisors, whose sum is σ = 1802250362880. Its totient is φ = 115490816000.

The previous prime is 496478737907. The next prime is 496478737933. The reversal of 496478737920 is 29737874694.

It is an interprime number because it is at equal distance from previous prime (496478737907) and next prime (496478737933).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×496478737920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467934190 + ... + 467935250.

It is an arithmetic number, because the mean of its divisors is an integer number (2816016192).

Almost surely, 2^496478737920 is an apocalyptic number.

496478737920 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 496478737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901125181440).

496478737920 is an abundant number, since it is smaller than the sum of its proper divisors (1305771624960).

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

496478737920 is a wasteful number, since it uses less digits than its factorization.

496478737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 66.

The spelling of 496478737920 in words is "four hundred ninety-six billion, four hundred seventy-eight million, seven hundred thirty-seven thousand, nine hundred twenty".