951940782540 has 768 divisors, whose sum is σ = 3487660001280. Its totient is φ = 215662694400.

The previous prime is 951940782503. The next prime is 951940782587. The reversal of 951940782540 is 45287049159.

It is a happy number.

951940782540 is a `hidden beast` number, since 9 + 5 + 1 + 94 + 0 + 7 + 8 + 2 + 540 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1480467459 + ... + 1480468101.

It is an arithmetic number, because the mean of its divisors is an integer number (4541223960).

Almost surely, 2^951940782540 is an apocalyptic number.

951940782540 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 951940782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743830000640).

951940782540 is an abundant number, since it is smaller than the sum of its proper divisors (2535719218740).

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

951940782540 is a wasteful number, since it uses less digits than its factorization.

951940782540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 951940782540 in words is "nine hundred fifty-one billion, nine hundred forty million, seven hundred eighty-two thousand, five hundred forty".