84763022400 has 1008 divisors, whose sum is σ = 375283658880. Its totient is φ = 18521395200.

The previous prime is 84763022381. The next prime is 84763022401. The reversal of 84763022400 is 422036748.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84763022401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48685530 + ... + 48687270.

Almost surely, 2^84763022400 is an apocalyptic number.

84763022400 is a gapful number since it is divisible by the number (80) 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 84763022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187641829440).

84763022400 is an abundant number, since it is smaller than the sum of its proper divisors (290520636480).

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

84763022400 is a wasteful number, since it uses less digits than its factorization.

84763022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 84763022400 in words is "eighty-four billion, seven hundred sixty-three million, twenty-two thousand, four hundred".