20379461400 has 288 divisors, whose sum is σ = 70195507200. Its totient is φ = 5296838400.

The previous prime is 20379461387. The next prime is 20379461413. The reversal of 20379461400 is 416497302.

20379461400 is a `hidden beast` number, since 2 + 0 + 37 + 9 + 4 + 614 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20379461387) and next prime (20379461413).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13486645 + ... + 13488155.

It is an arithmetic number, because the mean of its divisors is an integer number (243734400).

Almost surely, 2^20379461400 is an apocalyptic number.

20379461400 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 20379461400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35097753600).

20379461400 is an abundant number, since it is smaller than the sum of its proper divisors (49816045800).

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

20379461400 is a wasteful number, since it uses less digits than its factorization.

20379461400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 20379461400 in words is "twenty billion, three hundred seventy-nine million, four hundred sixty-one thousand, four hundred".