10477707240 has 768 divisors, whose sum is σ = 45546520320. Its totient is φ = 1888911360.

The previous prime is 10477707209. The next prime is 10477707259. The reversal of 10477707240 is 4270777401.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14293914 + ... + 14294646.

It is an arithmetic number, because the mean of its divisors is an integer number (59305365).

Almost surely, 2^10477707240 is an apocalyptic number.

10477707240 is a gapful number since it is divisible by the number (10) 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 10477707240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22773260160).

10477707240 is an abundant number, since it is smaller than the sum of its proper divisors (35068813080).

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

10477707240 is a wasteful number, since it uses less digits than its factorization.

10477707240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 76832, while the sum is 39.

It can be divided in two parts, 10477 and 707240, that added together give a palindrome (717717).

The spelling of 10477707240 in words is "ten billion, four hundred seventy-seven million, seven hundred seven thousand, two hundred forty".