964667022359040 has 11520 divisors, whose sum is σ = 5011566119239680. Its totient is φ = 176027339980800.

The previous prime is 964667022359011. The next prime is 964667022359113. The reversal of 964667022359040 is 40953220766469.

It is a tau number, because it is divible by the number of its divisors (11520).

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 1151 ways as a sum of consecutive naturals, for example, 16350288514531 + ... + 16350288514589.

It is an arithmetic number, because the mean of its divisors is an integer number (435031781184).

Almost surely, 2^{964667022359040} is an apocalyptic number.

964667022359040 is a gapful number since it is divisible by the number (90) 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 964667022359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505783059619840).

964667022359040 is an abundant number, since it is smaller than the sum of its proper divisors (4046899096880640).

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

964667022359040 is a wasteful number, since it uses less digits than its factorization.

964667022359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 964667022359040 in words is "nine hundred sixty-four trillion, six hundred sixty-seven billion, twenty-two million, three hundred fifty-nine thousand, forty".