4577008464000 has 4096 divisors, whose sum is σ = 21996748800000. Its totient is φ = 929901772800.

The previous prime is 4577008463999. The next prime is 4577008464031. The reversal of 4577008464000 is 4648007754.

It is a super-3 number, since 3×4577008464000³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 57936815961 + ... + 57936816039.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300000).

Almost surely, 2^{4577008464000} is an apocalyptic number.

4577008464000 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 4577008464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10998374400000).

4577008464000 is an abundant number, since it is smaller than the sum of its proper divisors (17419740336000).

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

4577008464000 is a wasteful number, since it uses less digits than its factorization.

4577008464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4577008464000 in words is "four trillion, five hundred seventy-seven billion, eight million, four hundred sixty-four thousand".