10737000780 has 96 divisors (see below), whose sum is σ = 33005871360. Its totient is φ = 2586305280.

The previous prime is 10737000767. The next prime is 10737000787. The reversal of 10737000780 is 8700073701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10737000787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51811 + ... + 155429.

It is an arithmetic number, because the mean of its divisors is an integer number (343811160).

Almost surely, 2^10737000780 is an apocalyptic number.

10737000780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 103619×103620.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10737000780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502935680).

10737000780 is an abundant number, since it is smaller than the sum of its proper divisors (22268870580).

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

10737000780 is a wasteful number, since it uses less digits than its factorization.

10737000780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103799 (or 103797 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The spelling of 10737000780 in words is "ten billion, seven hundred thirty-seven million, seven hundred eighty", and thus it is an aban number.