46897678080 has 576 divisors, whose sum is σ = 183912906240. Its totient is φ = 11361669120.

The previous prime is 46897678073. The next prime is 46897678097. The reversal of 46897678080 is 8087679864.

46897678080 is a `hidden beast` number, since 468 + 97 + 6 + 7 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 46897677999 and 46897678017.

It is a congruent number.

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, 30792199 + ... + 30793721.

It is an arithmetic number, because the mean of its divisors is an integer number (319293240).

Almost surely, 2^46897678080 is an apocalyptic number.

46897678080 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 46897678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91956453120).

46897678080 is an abundant number, since it is smaller than the sum of its proper divisors (137015228160).

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

46897678080 is an equidigital number, since it uses as much as digits as its factorization.

46897678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 46897678080 in words is "forty-six billion, eight hundred ninety-seven million, six hundred seventy-eight thousand, eighty".