46720536480 has 768 divisors, whose sum is σ = 176876421120. Its totient is φ = 11496038400.

The previous prime is 46720536371. The next prime is 46720536493. The reversal of 46720536480 is 8463502764.

46720536480 is a `hidden beast` number, since 4 + 6 + 7 + 205 + 364 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 367878177 + ... + 367878303.

It is an arithmetic number, because the mean of its divisors is an integer number (230307840).

Almost surely, 2^46720536480 is an apocalyptic number.

46720536480 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 46720536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88438210560).

46720536480 is an abundant number, since it is smaller than the sum of its proper divisors (130155884640).

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

46720536480 is a wasteful number, since it uses less digits than its factorization.

46720536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 46720536480 in words is "forty-six billion, seven hundred twenty million, five hundred thirty-six thousand, four hundred eighty".