46762066560 has 768 divisors, whose sum is σ = 174200463360. Its totient is φ = 10644480000.

The previous prime is 46762066531. The next prime is 46762066573. The reversal of 46762066560 is 6566026764.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309682485 + ... + 309682635.

It is an arithmetic number, because the mean of its divisors is an integer number (226823520).

Almost surely, 2^46762066560 is an apocalyptic number.

46762066560 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 46762066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87100231680).

46762066560 is an abundant number, since it is smaller than the sum of its proper divisors (127438396800).

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

46762066560 is a wasteful number, since it uses less digits than its factorization.

46762066560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 46762066560 in words is "forty-six billion, seven hundred sixty-two million, sixty-six thousand, five hundred sixty".