646075023552 has 1792 divisors, whose sum is σ = 2528133120000. Its totient is φ = 157600235520.

The previous prime is 646075023509. The next prime is 646075023557. The reversal of 646075023552 is 255320570646.

646075023552 is a `hidden beast` number, since 6 + 4 + 6 + 0 + 75 + 0 + 23 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 646075023498 and 646075023507.

It is not an unprimeable number, because it can be changed into a prime (646075023557) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10950424099 + ... + 10950424157.

Almost surely, 2^646075023552 is an apocalyptic number.

646075023552 is a gapful number since it is divisible by the number (62) 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 646075023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264066560000).

646075023552 is an abundant number, since it is smaller than the sum of its proper divisors (1882058096448).

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

646075023552 is a wasteful number, since it uses less digits than its factorization.

646075023552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 646075023552 in words is "six hundred forty-six billion, seventy-five million, twenty-three thousand, five hundred fifty-two".