712166192640 has 960 divisors, whose sum is σ = 2915256554496. Its totient is φ = 157293674496.

The previous prime is 712166192627. The next prime is 712166192693. The reversal of 712166192640 is 46291661217.

712166192640 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 6 + 619 + 26 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 714308622 + ... + 714309618.

Almost surely, 2^712166192640 is an apocalyptic number.

712166192640 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 712166192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457628277248).

712166192640 is an abundant number, since it is smaller than the sum of its proper divisors (2203090361856).

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

712166192640 is a wasteful number, since it uses less digits than its factorization.

712166192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 7121661 and 92640, that added together give a triangular number (7214301 = T₃₇₉₈).

The spelling of 712166192640 in words is "seven hundred twelve billion, one hundred sixty-six million, one hundred ninety-two thousand, six hundred forty".