7870738740480 has 1728 divisors, whose sum is σ = 36348169568256. Its totient is φ = 1582571520000.

The previous prime is 7870738740419. The next prime is 7870738740497. The reversal of 7870738740480 is 840478370787.

7870738740480 is a `hidden beast` number, since 7 + 8 + 7 + 0 + 73 + 87 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 742447180 + ... + 742457780.

It is an arithmetic number, because the mean of its divisors is an integer number (21034820352).

Almost surely, 2^{7870738740480} is an apocalyptic number.

7870738740480 is a gapful number since it is divisible by the number (70) 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 7870738740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18174084784128).

7870738740480 is an abundant number, since it is smaller than the sum of its proper divisors (28477430827776).

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

7870738740480 is a wasteful number, since it uses less digits than its factorization.

7870738740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 59006976, while the sum is 63.

The spelling of 7870738740480 in words is "seven trillion, eight hundred seventy billion, seven hundred thirty-eight million, seven hundred forty thousand, four hundred eighty".