793215148357632 has 3072 divisors, whose sum is σ = 3053281749073920. Its totient is φ = 176413055385600.

The previous prime is 793215148357481. The next prime is 793215148357663. The reversal of 793215148357632 is 236753841512397.

It is a tau number, because it is divible by the number of its divisors (3072).

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 255 ways as a sum of consecutive naturals, for example, 1351303489243 + ... + 1351303489829.

It is an arithmetic number, because the mean of its divisors is an integer number (993906819360).

Almost surely, 2^{793215148357632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793215148357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526640874536960).

793215148357632 is an abundant number, since it is smaller than the sum of its proper divisors (2260066600716288).

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

793215148357632 is a wasteful number, since it uses less digits than its factorization.

793215148357632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 920 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 66.

The spelling of 793215148357632 in words is "seven hundred ninety-three trillion, two hundred fifteen billion, one hundred forty-eight million, three hundred fifty-seven thousand, six hundred thirty-two".