84633978794400 has 288 divisors, whose sum is σ = 349820446308480. Its totient is φ = 19344909404160.

The previous prime is 84633978794377. The next prime is 84633978794413. The reversal of 84633978794400 is 449787933648.

It is a happy number.

84633978794400 is a `hidden beast` number, since 8 + 4 + 63 + 3 + 9 + 78 + 7 + 94 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279723069 + ... + 280025468.

It is an arithmetic number, because the mean of its divisors is an integer number (1214654327460).

Almost surely, 2^{84633978794400} is an apocalyptic number.

84633978794400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84633978794400 is an abundant number, since it is smaller than the sum of its proper divisors (265186467514080).

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

84633978794400 is a wasteful number, since it uses less digits than its factorization.

84633978794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559748573 (or 559748554 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 84633978794400 in words is "eighty-four trillion, six hundred thirty-three billion, nine hundred seventy-eight million, seven hundred ninety-four thousand, four hundred".