46635503040 has 504 divisors, whose sum is σ = 196427658960. Its totient is φ = 10097934336.

The previous prime is 46635503039. The next prime is 46635503051. The reversal of 46635503040 is 4030553664.

46635503040 is a `hidden beast` number, since 4 + 6 + 63 + 550 + 3 + 0 + 40 = 666.

46635503040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46635502986 and 46635503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2672584 + ... + 2689976.

Almost surely, 2^46635503040 is an apocalyptic number.

46635503040 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 46635503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98213829480).

46635503040 is an abundant number, since it is smaller than the sum of its proper divisors (149792155920).

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

46635503040 is a wasteful number, since it uses less digits than its factorization.

46635503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17449 (or 17429 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 46635503040 in words is "forty-six billion, six hundred thirty-five million, five hundred three thousand, forty".