46642407188976 has 240 divisors, whose sum is σ = 133976478810720. Its totient is φ = 15138938880000.

The previous prime is 46642407188933. The next prime is 46642407189019. The reversal of 46642407188976 is 67988170424664.

46642407188976 is a `hidden beast` number, since 4 + 6 + 64 + 2 + 407 + 18 + 89 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (46642407188933) and next prime (46642407189019).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 9715141776 + ... + 9715146576.

It is an arithmetic number, because the mean of its divisors is an integer number (558235328378).

Almost surely, 2^{46642407188976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46642407188976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66988239405360).

46642407188976 is an abundant number, since it is smaller than the sum of its proper divisors (87334071621744).

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

46642407188976 is a wasteful number, since it uses less digits than its factorization.

46642407188976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7696 (or 7687 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 46642407188976 in words is "forty-six trillion, six hundred forty-two billion, four hundred seven million, one hundred eighty-eight thousand, nine hundred seventy-six".