46069470720 has 1440 divisors, whose sum is σ = 207327792672. Its totient is φ = 9364045824.

The previous prime is 46069470691. The next prime is 46069470751. The reversal of 46069470720 is 2707496064.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×46069470720³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 631088604 + ... + 631088676.

Almost surely, 2^46069470720 is an apocalyptic number.

46069470720 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 46069470720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103663896336).

46069470720 is an abundant number, since it is smaller than the sum of its proper divisors (161258321952).

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

46069470720 is a wasteful number, since it uses less digits than its factorization.

46069470720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 46069470720 in words is "forty-six billion, sixty-nine million, four hundred seventy thousand, seven hundred twenty".