971764290000 has 1400 divisors, whose sum is σ = 4090063010880. Its totient is φ = 218909952000.

The previous prime is 971764289933. The next prime is 971764290023. The reversal of 971764290000 is 92467179.

It is a tau number, because it is divible by the number of its divisors (1400).

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 279 ways as a sum of consecutive naturals, for example, 6991109931 + ... + 6991110069.

Almost surely, 2^971764290000 is an apocalyptic number.

971764290000 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 971764290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045031505440).

971764290000 is an abundant number, since it is smaller than the sum of its proper divisors (3118298720880).

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

971764290000 is a wasteful number, since it uses less digits than its factorization.

971764290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 971764290000 in words is "nine hundred seventy-one billion, seven hundred sixty-four million, two hundred ninety thousand".