46582504640 has 336 divisors, whose sum is σ = 136097832960. Its totient is φ = 15119677440.

The previous prime is 46582504597. The next prime is 46582504651. The reversal of 46582504640 is 4640528564.

It is a junction number, because it is equal to n+sod(n) for n = 46582504591 and 46582504600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22844741 + ... + 22846779.

Almost surely, 2^46582504640 is an apocalyptic number.

46582504640 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 46582504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68048916480).

46582504640 is an abundant number, since it is smaller than the sum of its proper divisors (89515328320).

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

46582504640 is a wasteful number, since it uses less digits than its factorization.

46582504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 46582504640 in words is "forty-six billion, five hundred eighty-two million, five hundred four thousand, six hundred forty".