46760069664 has 1152 divisors, whose sum is σ = 185330073600. Its totient is φ = 11321856000.

The previous prime is 46760069663. The next prime is 46760069749. The reversal of 46760069664 is 46696006764.

46760069664 is a `hidden beast` number, since 467 + 60 + 0 + 69 + 6 + 64 = 666.

It is a super-2 number, since 2×46760069664² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46760069664.

It is not an unprimeable number, because it can be changed into a prime (46760069663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 591899577 + ... + 591899655.

It is an arithmetic number, because the mean of its divisors is an integer number (160876800).

Almost surely, 2^46760069664 is an apocalyptic number.

46760069664 is a gapful number since it is divisible by the number (44) 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 46760069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92665036800).

46760069664 is an abundant number, since it is smaller than the sum of its proper divisors (138570003936).

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

46760069664 is a wasteful number, since it uses less digits than its factorization.

46760069664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 46760069664 in words is "forty-six billion, seven hundred sixty million, sixty-nine thousand, six hundred sixty-four".