496819201950720 has 704 divisors, whose sum is σ = 1928867159681280. Its totient is φ = 120268947456000.

The previous prime is 496819201950697. The next prime is 496819201950761. The reversal of 496819201950720 is 27059102918694.

496819201950720 is a `hidden beast` number, since 4 + 9 + 6 + 8 + 1 + 92 + 0 + 19 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×496819201950720³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1065735604 + ... + 1066201676.

Almost surely, 2^{496819201950720} is an apocalyptic number.

496819201950720 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 496819201950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964433579840640).

496819201950720 is an abundant number, since it is smaller than the sum of its proper divisors (1432047957730560).

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

496819201950720 is a wasteful number, since it uses less digits than its factorization.

496819201950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466819 (or 466795 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 496819201950720 in words is "four hundred ninety-six trillion, eight hundred nineteen billion, two hundred one million, nine hundred fifty thousand, seven hundred twenty".