4892615481600 has 864 divisors, whose sum is σ = 22367715041280. Its totient is φ = 1016644608000.

The previous prime is 4892615481569. The next prime is 4892615481623. The reversal of 4892615481600 is 61845162984.

4892615481600 is a `hidden beast` number, since 4 + 8 + 9 + 2 + 615 + 4 + 8 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13121745 + ... + 13489455.

Almost surely, 2^{4892615481600} is an apocalyptic number.

4892615481600 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 4892615481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183857520640).

4892615481600 is an abundant number, since it is smaller than the sum of its proper divisors (17475099559680).

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

4892615481600 is a wasteful number, since it uses less digits than its factorization.

4892615481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367764 (or 367739 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 4892615481600 in words is "four trillion, eight hundred ninety-two billion, six hundred fifteen million, four hundred eighty-one thousand, six hundred".