735916040496 has 1260 divisors, whose sum is σ = 2841605926920. Its totient is φ = 183414067200.

The previous prime is 735916040491. The next prime is 735916040537. The reversal of 735916040496 is 694040619537.

735916040496 is a `hidden beast` number, since 7 + 3 + 5 + 91 + 60 + 4 + 0 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (735916040491) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 1835201896 + ... + 1835202296.

Almost surely, 2^735916040496 is an apocalyptic number.

735916040496 is a gapful number since it is divisible by the number (76) 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 735916040496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420802963460).

735916040496 is an abundant number, since it is smaller than the sum of its proper divisors (2105689886424).

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

735916040496 is a wasteful number, since it uses less digits than its factorization.

735916040496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 735916040496 in words is "seven hundred thirty-five billion, nine hundred sixteen million, forty thousand, four hundred ninety-six".