10768937040 has 400 divisors, whose sum is σ = 40229925120. Its totient is φ = 2661258240.

The previous prime is 10768937029. The next prime is 10768937057. The reversal of 10768937040 is 4073986701.

It is a super-3 number, since 3×10768937040³ (a number of 31 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 79 ways as a sum of consecutive naturals, for example, 5785710 + ... + 5787570.

Almost surely, 2^10768937040 is an apocalyptic number.

10768937040 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 10768937040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20114962560).

10768937040 is an abundant number, since it is smaller than the sum of its proper divisors (29460988080).

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

10768937040 is a wasteful number, since it uses less digits than its factorization.

10768937040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 10768937040 in words is "ten billion, seven hundred sixty-eight million, nine hundred thirty-seven thousand, forty".