496900388240640 has 864 divisors, whose sum is σ = 1788987237273600. Its totient is φ = 127226089635840.

The previous prime is 496900388240593. The next prime is 496900388240693. The reversal of 496900388240640 is 46042883009694.

496900388240640 is a `hidden beast` number, since 4 + 9 + 6 + 9 + 0 + 0 + 388 + 240 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107113683441 + ... + 107113688079.

Almost surely, 2^{496900388240640} is an apocalyptic number.

496900388240640 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 496900388240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894493618636800).

496900388240640 is an abundant number, since it is smaller than the sum of its proper divisors (1292086849032960).

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

496900388240640 is a wasteful number, since it uses less digits than its factorization.

496900388240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7963 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 496900388240640 in words is "four hundred ninety-six trillion, nine hundred billion, three hundred eighty-eight million, two hundred forty thousand, six hundred forty".