46708467704640 has 2352 divisors, whose sum is σ = 201179115446400. Its totient is φ = 10112506601472.

The previous prime is 46708467704597. The next prime is 46708467704653. The reversal of 46708467704640 is 4640776480764.

It is a happy number.

46708467704640 is a `hidden beast` number, since 4 + 67 + 0 + 8 + 46 + 7 + 70 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 120073181566 + ... + 120073181954.

It is an arithmetic number, because the mean of its divisors is an integer number (85535338200).

Almost surely, 2^{46708467704640} is an apocalyptic number.

46708467704640 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 46708467704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100589557723200).

46708467704640 is an abundant number, since it is smaller than the sum of its proper divisors (154470647741760).

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

46708467704640 is a wasteful number, since it uses less digits than its factorization.

46708467704640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 46708467704640 in words is "forty-six trillion, seven hundred eight billion, four hundred sixty-seven million, seven hundred four thousand, six hundred forty".