10477024740 has 576 divisors, whose sum is σ = 41328967680. Its totient is φ = 2088944640.

The previous prime is 10477024717. The next prime is 10477024757. The reversal of 10477024740 is 4742077401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10477024695 and 10477024704.

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, 23865441 + ... + 23865879.

It is an arithmetic number, because the mean of its divisors is an integer number (71751680).

Almost surely, 2^10477024740 is an apocalyptic number.

10477024740 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 10477024740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20664483840).

10477024740 is an abundant number, since it is smaller than the sum of its proper divisors (30851942940).

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

10477024740 is a wasteful number, since it uses less digits than its factorization.

10477024740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 10477024740 in words is "ten billion, four hundred seventy-seven million, twenty-four thousand, seven hundred forty".