9625946400 has 864 divisors, whose sum is σ = 41103369216. Its totient is φ = 2073600000.

The previous prime is 9625946399. The next prime is 9625946401. The reversal of 9625946400 is 46495269.

It is an interprime number because it is at equal distance from previous prime (9625946399) and next prime (9625946401).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9625946401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95306350 + ... + 95306450.

It is an arithmetic number, because the mean of its divisors is an integer number (47573344).

Almost surely, 2^9625946400 is an apocalyptic number.

9625946400 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 9625946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20551684608).

9625946400 is an abundant number, since it is smaller than the sum of its proper divisors (31477422816).

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

9625946400 is a wasteful number, since it uses less digits than its factorization.

9625946400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9625946400 is about 98111.9075342030. The cubic root of 9625946400 is about 2127.2301495672.

The spelling of 9625946400 in words is "nine billion, six hundred twenty-five million, nine hundred forty-six thousand, four hundred".