46799520768 has 1408 divisors, whose sum is σ = 198084096000. Its totient is φ = 10510663680.

The previous prime is 46799520739. The next prime is 46799520769. The reversal of 46799520768 is 86702599764.

46799520768 is a `hidden beast` number, since 46 + 7 + 9 + 9 + 520 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×46799520768² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (46799520769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 525837268 + ... + 525837356.

Almost surely, 2^46799520768 is an apocalyptic number.

46799520768 is a gapful number since it is divisible by the number (48) 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 46799520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99042048000).

46799520768 is an abundant number, since it is smaller than the sum of its proper divisors (151284575232).

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

46799520768 is a wasteful number, since it uses less digits than its factorization.

46799520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 46799520768 in words is "forty-six billion, seven hundred ninety-nine million, five hundred twenty thousand, seven hundred sixty-eight".