4925456640 has 576 divisors, whose sum is σ = 19848057600. Its totient is φ = 1146617856.

The previous prime is 4925456617. The next prime is 4925456671. The reversal of 4925456640 is 466545294.

4925456640 is a `hidden beast` number, since 4 + 9 + 2 + 545 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×4925456640² = 48520246225040179200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8536032 + ... + 8536608.

Almost surely, 2^4925456640 is an apocalyptic number.

4925456640 is a gapful number since it is divisible by the number (40) 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 4925456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9924028800).

4925456640 is an abundant number, since it is smaller than the sum of its proper divisors (14922600960).

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

4925456640 is a wasteful number, since it uses less digits than its factorization.

4925456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 4925456640 is about 70181.5975879717. The cubic root of 4925456640 is about 1701.4355394575.

The spelling of 4925456640 in words is "four billion, nine hundred twenty-five million, four hundred fifty-six thousand, six hundred forty".