46719450672 has 320 divisors, whose sum is σ = 133371463680. Its totient is φ = 14050713600.

The previous prime is 46719450667. The next prime is 46719450703. The reversal of 46719450672 is 27605491764.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258118422 + ... + 258118602.

It is an arithmetic number, because the mean of its divisors is an integer number (416785824).

Almost surely, 2^46719450672 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 46719450672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66685731840).

46719450672 is an abundant number, since it is smaller than the sum of its proper divisors (86652013008).

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

46719450672 is a wasteful number, since it uses less digits than its factorization.

46719450672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 46719450672 in words is "forty-six billion, seven hundred nineteen million, four hundred fifty thousand, six hundred seventy-two".