4781006407680 has 768 divisors, whose sum is σ = 16946695584000. Its totient is φ = 1145221152768.

The previous prime is 4781006407679. The next prime is 4781006407687. The reversal of 4781006407680 is 867046001874.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4781006407687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1347899667 + ... + 1347903213.

It is an arithmetic number, because the mean of its divisors is an integer number (22066009875).

Almost surely, 2^{4781006407680} is an apocalyptic number.

4781006407680 is a gapful number since it is divisible by the number (40) 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 4781006407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8473347792000).

4781006407680 is an abundant number, since it is smaller than the sum of its proper divisors (12165689176320).

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

4781006407680 is a wasteful number, since it uses less digits than its factorization.

4781006407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 4781006407680 in words is "four trillion, seven hundred eighty-one billion, six million, four hundred seven thousand, six hundred eighty".