6940387632 has 320 divisors, whose sum is σ = 20844380160. Its totient is φ = 1976832000.

The previous prime is 6940387631. The next prime is 6940387639. The reversal of 6940387632 is 2367830496.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6940387631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45962757 + ... + 45962907.

It is an arithmetic number, because the mean of its divisors is an integer number (65138688).

Almost surely, 2^6940387632 is an apocalyptic number.

6940387632 is a gapful number since it is divisible by the number (62) 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 6940387632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422190080).

6940387632 is an abundant number, since it is smaller than the sum of its proper divisors (13903992528).

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

6940387632 is a wasteful number, since it uses less digits than its factorization.

6940387632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 6940387632 is about 83308.9889027589. The cubic root of 6940387632 is about 1907.4854872767.

The spelling of 6940387632 in words is "six billion, nine hundred forty million, three hundred eighty-seven thousand, six hundred thirty-two".