45710486640 has 480 divisors, whose sum is σ = 192050791296. Its totient is φ = 9485475840.

The previous prime is 45710486621. The next prime is 45710486659. The reversal of 45710486640 is 4668401754.

45710486640 is a `hidden beast` number, since 45 + 71 + 0 + 486 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45710486621) and next prime (45710486659).

It is a super-3 number, since 3×45710486640³ (a number of 33 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 3991002 + ... + 4002438.

Almost surely, 2^45710486640 is an apocalyptic number.

45710486640 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 45710486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96025395648).

45710486640 is an abundant number, since it is smaller than the sum of its proper divisors (146340304656).

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

45710486640 is a wasteful number, since it uses less digits than its factorization.

45710486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11537 (or 11528 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 45710486640 in words is "forty-five billion, seven hundred ten million, four hundred eighty-six thousand, six hundred forty".