740164566960 has 1920 divisors, whose sum is σ = 3403788810240. Its totient is φ = 145521930240.

The previous prime is 740164566959. The next prime is 740164566989. The reversal of 740164566960 is 69665461047.

740164566960 is a `hidden beast` number, since 7 + 4 + 0 + 16 + 4 + 566 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 740164566897 and 740164566906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12133845330 + ... + 12133845390.

It is an arithmetic number, because the mean of its divisors is an integer number (1772806672).

Almost surely, 2^740164566960 is an apocalyptic number.

740164566960 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 740164566960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701894405120).

740164566960 is an abundant number, since it is smaller than the sum of its proper divisors (2663624243280).

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

740164566960 is a wasteful number, since it uses less digits than its factorization.

740164566960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 740164566960 in words is "seven hundred forty billion, one hundred sixty-four million, five hundred sixty-six thousand, nine hundred sixty".