247804945920 has 640 divisors, whose sum is σ = 1018550522880. Its totient is φ = 56632172544.

The previous prime is 247804945903. The next prime is 247804945957. The reversal of 247804945920 is 29549408742.

It is a happy number.

247804945920 is a `hidden beast` number, since 2 + 4 + 7 + 8 + 0 + 49 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×247804945920² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 39187879 + ... + 39194201.

It is an arithmetic number, because the mean of its divisors is an integer number (1591485192).

Almost surely, 2^247804945920 is an apocalyptic number.

247804945920 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 247804945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509275261440).

247804945920 is an abundant number, since it is smaller than the sum of its proper divisors (770745576960).

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

247804945920 is an frugal number, since it uses more digits than its factorization.

247804945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6374 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 247804945920 in words is "two hundred forty-seven billion, eight hundred four million, nine hundred forty-five thousand, nine hundred twenty".