793747009440 has 1296 divisors, whose sum is σ = 3576291264000. Its totient is φ = 159560755200.

The previous prime is 793747009427. The next prime is 793747009453. The reversal of 793747009440 is 44900747397.

It is an interprime number because it is at equal distance from previous prime (793747009427) and next prime (793747009453).

It is a super-2 number, since 2×793747009440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 264669061 + ... + 264672059.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484000).

Almost surely, 2^793747009440 is an apocalyptic number.

793747009440 is a gapful number since it is divisible by the number (70) 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 793747009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788145632000).

793747009440 is an abundant number, since it is smaller than the sum of its proper divisors (2782544254560).

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

793747009440 is a wasteful number, since it uses less digits than its factorization.

793747009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 793747009440 in words is "seven hundred ninety-three billion, seven hundred forty-seven million, nine thousand, four hundred forty".