496067120640 has 2240 divisors, whose sum is σ = 2308268261376. Its totient is φ = 99325771776.

The previous prime is 496067120623. The next prime is 496067120729. The reversal of 496067120640 is 46021760694.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3906040257 + ... + 3906040383.

Almost surely, 2^496067120640 is an apocalyptic number.

496067120640 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 496067120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1154134130688).

496067120640 is an abundant number, since it is smaller than the sum of its proper divisors (1812201140736).

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

496067120640 is a wasteful number, since it uses less digits than its factorization.

496067120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 496067120640 in words is "four hundred ninety-six billion, sixty-seven million, one hundred twenty thousand, six hundred forty".