27772070400 has 960 divisors, whose sum is σ = 112340131200. Its totient is φ = 6688604160.

The previous prime is 27772070387. The next prime is 27772070407. The reversal of 27772070400 is 407027772.

It is a tau number, because it is divible by the number of its divisors (960).

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 (27772070407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170380719 + ... + 170380881.

It is an arithmetic number, because the mean of its divisors is an integer number (117020970).

Almost surely, 2^27772070400 is an apocalyptic number.

27772070400 is a gapful number since it is divisible by the number (20) 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 27772070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56170065600).

27772070400 is an abundant number, since it is smaller than the sum of its proper divisors (84568060800).

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

27772070400 is a wasteful number, since it uses less digits than its factorization.

27772070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The spelling of 27772070400 in words is "twenty-seven billion, seven hundred seventy-two million, seventy thousand, four hundred".