46040762880 has 960 divisors, whose sum is σ = 192680167680. Its totient is φ = 10319560704.

The previous prime is 46040762731. The next prime is 46040762899. The reversal of 46040762880 is 8826704064.

46040762880 is a `hidden beast` number, since 460 + 40 + 76 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 422392266 + ... + 422392374.

It is an arithmetic number, because the mean of its divisors is an integer number (200708508).

Almost surely, 2^46040762880 is an apocalyptic number.

46040762880 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 46040762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96340083840).

46040762880 is an abundant number, since it is smaller than the sum of its proper divisors (146639404800).

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

46040762880 is an equidigital number, since it uses as much as digits as its factorization.

46040762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 46040762880 in words is "forty-six billion, forty million, seven hundred sixty-two thousand, eight hundred eighty".