46415600640 has 352 divisors, whose sum is σ = 170289438720. Its totient is φ = 11977113600.

The previous prime is 46415600617. The next prime is 46415600663. The reversal of 46415600640 is 4600651464.

46415600640 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 5 + 6 + 0 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (46415600617) and next prime (46415600663).

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 = 46415600595 and 46415600604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4280025 + ... + 4290855.

Almost surely, 2^46415600640 is an apocalyptic number.

46415600640 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 46415600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85144719360).

46415600640 is an abundant number, since it is smaller than the sum of its proper divisors (123873838080).

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

46415600640 is a wasteful number, since it uses less digits than its factorization.

46415600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10896 (or 10872 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 46415600640 in words is "forty-six billion, four hundred fifteen million, six hundred thousand, six hundred forty".