1642798700856 has 1024 divisors, whose sum is σ = 5295144960000. Its totient is φ = 469766449152.

The previous prime is 1642798700821. The next prime is 1642798700863. The reversal of 1642798700856 is 6580078972461.

1642798700856 is a `hidden beast` number, since 1 + 6 + 427 + 98 + 70 + 0 + 8 + 56 = 666.

It is a super-2 number, since 2×1642798700856² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1642798700793 and 1642798700802.

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, 19792755391 + ... + 19792755473.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040000).

Almost surely, 2^{1642798700856} 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 1642798700856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647572480000).

1642798700856 is an abundant number, since it is smaller than the sum of its proper divisors (3652346259144).

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

1642798700856 is a wasteful number, since it uses less digits than its factorization.

1642798700856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 1642798700856 in words is "one trillion, six hundred forty-two billion, seven hundred ninety-eight million, seven hundred thousand, eight hundred fifty-six".