9406877760 has 224 divisors, whose sum is σ = 37926385920. Its totient is φ = 2150129664.

The previous prime is 9406877759. The next prime is 9406877761. The reversal of 9406877760 is 677786049.

It is an interprime number because it is at equal distance from previous prime (9406877759) and next prime (9406877761).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9406877697 and 9406877706.

It is not an unprimeable number, because it can be changed into a prime (9406877761) 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, 17289 + ... + 138248.

Almost surely, 2^9406877760 is an apocalyptic number.

9406877760 is a gapful number since it is divisible by the number (90) 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 9406877760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963192960).

9406877760 is an abundant number, since it is smaller than the sum of its proper divisors (28519508160).

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

9406877760 is a wasteful number, since it uses less digits than its factorization.

9406877760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155570 (or 155554 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 9406877760 is about 96989.0600016311. The cubic root of 9406877760 is about 2110.9688923420.

The spelling of 9406877760 in words is "nine billion, four hundred six million, eight hundred seventy-seven thousand, seven hundred sixty".