46099080720 has 640 divisors, whose sum is σ = 204375490560. Its totient is φ = 9268992000.

The previous prime is 46099080683. The next prime is 46099080721. The reversal of 46099080720 is 2708099064.

It is a happy number.

46099080720 is a `hidden beast` number, since 460 + 9 + 90 + 80 + 7 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (46099080721) 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, 5151450 + ... + 5160390.

It is an arithmetic number, because the mean of its divisors is an integer number (319336704).

Almost surely, 2^46099080720 is an apocalyptic number.

46099080720 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 46099080720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102187745280).

46099080720 is an abundant number, since it is smaller than the sum of its proper divisors (158276409840).

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

46099080720 is a wasteful number, since it uses less digits than its factorization.

46099080720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9012 (or 9000 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 46099080720 in words is "forty-six billion, ninety-nine million, eighty thousand, seven hundred twenty".