8749400064 has 240 divisors, whose sum is σ = 25460745408. Its totient is φ = 2661285888.

The previous prime is 8749400029. The next prime is 8749400069. The reversal of 8749400064 is 4600049478.

It is a junction number, because it is equal to n+sod(n) for n = 8749399989 and 8749400025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8749400069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30916467 + ... + 30916749.

Almost surely, 2^8749400064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8749400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12730372704).

8749400064 is an abundant number, since it is smaller than the sum of its proper divisors (16711345344).

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

8749400064 is a wasteful number, since it uses less digits than its factorization.

8749400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 8749400064 is about 93538.2278215704. The cubic root of 8749400064 is about 2060.5955534485.

The spelling of 8749400064 in words is "eight billion, seven hundred forty-nine million, four hundred thousand, sixty-four".