10007290692 has 192 divisors, whose sum is σ = 30696314880. Its totient is φ = 2759702400.

The previous prime is 10007290663. The next prime is 10007290697. The reversal of 10007290692 is 29609270001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10007290697) 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, 3662967 + ... + 3665697.

It is an arithmetic number, because the mean of its divisors is an integer number (159876640).

Almost surely, 2^10007290692 is an apocalyptic number.

10007290692 is a gapful number since it is divisible by the number (12) 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 10007290692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348157440).

10007290692 is an abundant number, since it is smaller than the sum of its proper divisors (20689024188).

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

10007290692 is a wasteful number, since it uses less digits than its factorization.

10007290692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10007290692 in words is "ten billion, seven million, two hundred ninety thousand, six hundred ninety-two".