6972762000 has 160 divisors (see below), whose sum is σ = 22692369024. Its totient is φ = 1841856000.

The previous prime is 6972761969. The next prime is 6972762061. The reversal of 6972762000 is 2672796.

It is a self number, because there is not a number n which added to its sum of digits gives 6972762000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 636570 + ... + 647430.

Almost surely, 2^6972762000 is an apocalyptic number.

6972762000 is a gapful number since it is divisible by the number (60) 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 6972762000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11346184512).

6972762000 is an abundant number, since it is smaller than the sum of its proper divisors (15719607024).

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

6972762000 is a wasteful number, since it uses less digits than its factorization.

6972762000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10994 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6972762000 is about 83503.0658119808. The cubic root of 6972762000 is about 1910.4467947750.

The spelling of 6972762000 in words is "six billion, nine hundred seventy-two million, seven hundred sixty-two thousand".