4645769990400 has 1728 divisors, whose sum is σ = 21534595031040. Its totient is φ = 951931699200.

The previous prime is 4645769990369. The next prime is 4645769990413. The reversal of 4645769990400 is 40999675464.

4645769990400 is a `hidden beast` number, since 4 + 6 + 4 + 57 + 6 + 99 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971306409 + ... + 971311191.

Almost surely, 2^{4645769990400} is an apocalyptic number.

4645769990400 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 4645769990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10767297515520).

4645769990400 is an abundant number, since it is smaller than the sum of its proper divisors (16888825040640).

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

4645769990400 is a wasteful number, since it uses less digits than its factorization.

4645769990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4884 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 4645769990400 in words is "four trillion, six hundred forty-five billion, seven hundred sixty-nine million, nine hundred ninety thousand, four hundred".