948276806400 has 3456 divisors, whose sum is σ = 4749562675200. Its totient is φ = 180652032000.

The previous prime is 948276806291. The next prime is 948276806401. The reversal of 948276806400 is 4608672849.

948276806400 is a `hidden beast` number, since 94 + 8 + 2 + 76 + 80 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is not an unprimeable number, because it can be changed into a prime (948276806401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 30589574385 + ... + 30589574415.

Almost surely, 2^948276806400 is an apocalyptic number.

948276806400 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 948276806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374781337600).

948276806400 is an abundant number, since it is smaller than the sum of its proper divisors (3801285868800).

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

948276806400 is a wasteful number, since it uses less digits than its factorization.

948276806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 948276806400 in words is "nine hundred forty-eight billion, two hundred seventy-six million, eight hundred six thousand, four hundred".