46906030080 has 1728 divisors, whose sum is σ = 220224251520. Its totient is φ = 9116319744.

The previous prime is 46906030057. The next prime is 46906030109. The reversal of 46906030080 is 8003060964.

46906030080 is a `hidden beast` number, since 46 + 9 + 0 + 603 + 0 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 998000617 + ... + 998000663.

It is an arithmetic number, because the mean of its divisors is an integer number (127444590).

Almost surely, 2^46906030080 is an apocalyptic number.

46906030080 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 46906030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110112125760).

46906030080 is an abundant number, since it is smaller than the sum of its proper divisors (173318221440).

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

46906030080 is a wasteful number, since it uses less digits than its factorization.

46906030080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 46906030080 in words is "forty-six billion, nine hundred six million, thirty thousand, eighty".