10572763740 has 768 divisors, whose sum is σ = 41246392320. Its totient is φ = 1958584320.

The previous prime is 10572763651. The next prime is 10572763757. The reversal of 10572763740 is 4736727501.

It is a super-4 number, since 4×10572763740⁴ (a number of 41 digits) contains 4444 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 10572763692 and 10572763701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 144832344 + ... + 144832416.

It is an arithmetic number, because the mean of its divisors is an integer number (53706240).

Almost surely, 2^10572763740 is an apocalyptic number.

10572763740 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 10572763740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623196160).

10572763740 is an abundant number, since it is smaller than the sum of its proper divisors (30673628580).

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

10572763740 is a wasteful number, since it uses less digits than its factorization.

10572763740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 10572763740 in words is "ten billion, five hundred seventy-two million, seven hundred sixty-three thousand, seven hundred forty".