83979374400 has 840 divisors, whose sum is σ = 334210859136. Its totient is φ = 20603289600.

The previous prime is 83979374333. The next prime is 83979374419. The reversal of 83979374400 is 447397938.

83979374400 is a `hidden beast` number, since 83 + 9 + 7 + 93 + 74 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103549995 + ... + 103550805.

Almost surely, 2^83979374400 is an apocalyptic number.

83979374400 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 83979374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167105429568).

83979374400 is an abundant number, since it is smaller than the sum of its proper divisors (250231484736).

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

83979374400 is a wasteful number, since it uses less digits than its factorization.

83979374400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 83979374400 in words is "eighty-three billion, nine hundred seventy-nine million, three hundred seventy-four thousand, four hundred".