712479077640 has 288 divisors, whose sum is σ = 2563531588800. Its totient is φ = 171478137600.

The previous prime is 712479077573. The next prime is 712479077647. The reversal of 712479077640 is 46770974217.

712479077640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (712479077647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5996005 + ... + 6113675.

It is an arithmetic number, because the mean of its divisors is an integer number (8901151350).

Almost surely, 2^712479077640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712479077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281765794400).

712479077640 is an abundant number, since it is smaller than the sum of its proper divisors (1851052511160).

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

712479077640 is a wasteful number, since it uses less digits than its factorization.

712479077640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117849 (or 117831 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 712479077640 in words is "seven hundred twelve billion, four hundred seventy-nine million, seventy-seven thousand, six hundred forty".