46829076480 has 544 divisors, whose sum is σ = 171126297600. Its totient is φ = 12145655808.

The previous prime is 46829076467. The next prime is 46829076487. The reversal of 46829076480 is 8467092864.

46829076480 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 90 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46829076487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 592773081 + ... + 592773159.

It is an arithmetic number, because the mean of its divisors is an integer number (314570400).

Almost surely, 2^46829076480 is an apocalyptic number.

46829076480 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 46829076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85563148800).

46829076480 is an abundant number, since it is smaller than the sum of its proper divisors (124297221120).

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

46829076480 is an frugal number, since it uses more digits than its factorization.

46829076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 46829076480 in words is "forty-six billion, eight hundred twenty-nine million, seventy-six thousand, four hundred eighty".